Step-by-step explanation:
since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3
The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].
What is the inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].
According to the given equation.
We have a function.
[tex]f(x) = 3(x-4)^{2} +5[/tex]
The above function can be written as
[tex]y = 3(x-4)^{2} +5[/tex]
Write the above function for x.
[tex]\implies y -5 = 3(x-4)^{2}[/tex]
[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]
[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]
[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]
[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]
Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].
We get
[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]
Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].
Find out more information about the inverse of the function here:
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(a) 85% of 80 is what number?
(b) 21 is 35% of what?
Answer:
a) 68
b)60
Step-by-step explanation:
a) 85% = 0.85
0.85 * 80 = 68
b) let x be the unknown number.
35% = 0.35
0.35x = 21
x = 60
Answer:
Step-by-step explanation:
a, 85% of 80
85% of 80
= 85/100*80
=85/100*80
=0.85*80
=68.
b, 21 is 35%
21 is 35%
=21*35/100
=21*0.35
=7.35.
hope this helps you dear and have a nice day
the wording is quite confusing so please help
Answer:
Jalen
Step-by-step explanation:
Similar rectangles have the same ratio, not the same size
This morning, Sarah's team started at zero and earned 5 points for perfect attendance. The team lost 10 points for disruptive behavior at lunch. Write an addition equation to describe how many points Sarah's team earned. Give the
sum.
A small bookstore sold between 5 and 8 books each day for 7 days. Tell whether the graph is continuous or discrete.
Answer:
i think the answer is contionous
can you plz help me with 2 & 4
please do this for me
Answer:
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Step-by-step explanation:
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2. Evaluate: 6.231 x 10^3
Answer:
6.231 × 10³
= 6.231 × 1000
= 6231
Step-by-step explanation:
brainliest plz
When negative five is subtracted from a number the result is 10.
Find the number.
O 15
O -5
O -15
O 5
.............................
Answer:
D. 5
Step-by-step explanation:
Ok, so the number is represented by n.
n-(-5)=10.
Negative Times Negative makes Positive. The equation is now:
n+5=10
Subtract 5 from both sides.
n=5
The are of the floor in George's square bedroom is 25ft squared. What is the length of his bedroom?If the height of his bedroom is 6ft, how much wall surface does he have in his room?Please answer I'll mark you as a brainlyest
Answer: The bedroom is 5 x 5, since that is the only square measure that would make 25 (5x5) ft^2. Assuming no doors, windows, or pinups, the wall area is 120 ft^2
Step-by-step explanation:
4 walls, with no doors or windows, would be 4x (5*6) = 120ft^2
For BRAINILY
Please answer fast
Answer:
37
Step-by-step explanation:
S+S+106⁰=180⁰(sum of angles of triangle)
2S=180⁰-106⁰
S=74⁰/2
S=37⁰
x²+10+7=0 by completing the square
Answer:
x=−5+3–√2
x=−5−3–√2
Step-by-step explanation:
Which identity or property is used during the first step when solving the equation 5 − 8x = 1/2 (4x − 1)
Answer: Distributive Property
Step-by-step explanation:
Answer:
Step-by-step explanation:
5-8x=1/2 (4x-1)
5-8x=2x-1/2
10-16x=4x-1
-16x-4x=-1-10
-20x=-11
x=11/20
use a double angle formula to rewrite the expression. 16sin (x) cos (x)
Answer:
8sin(2x).
Step-by-step explanation:
2sin(x)cos(x) = sin(2x)
So 16sin(x)cos(x)
= 8* 2sin(x)cos(x)
= 8sin(2x).
3. Solve the following questions.
(a) x +3 = 5
(b) 2x – 3 = 5
4. Solve the following questions.
(a) - 17 = -10
(b) x+7
___ =13
-2
Answer:
3a. x=8 3b. x=4 4a. 7 4b. -13.5
i’m so gonna fail math
Use the information given to write an equation in standard form.
6. Slope is 3, and (1. 4) is on the line.
7. Slope is -2, and (4,3) is on the line.
10. Slope is , and (1, 3) is on the line.
11. Slope - , and (2, 3) is on the line
one will get the brainliest,Help me! to do this..i have been confused of this..please help
Simplify: (5/7-1/2 ) ×2 4/5 .
Simplify : 7/12 ÷( 1 1/3-3/4 )
Simplify∶ 2/3 ÷(1/2 ×4/5)
Simplify : (1/2+1/3) ÷ 1 2/3
Simplify : 2 1/3 ×2/7+1/4
Simplify : 3/4 of ( 3/5 + 1/3 )
Simplify : 3 1/3 of ( 3/5 -1/2 )
Simplify : ( 1 3/4 -1/2 ) ×2 1/5
Simplify : ( 5/9 –1/3 ) ÷2
Simplify : 1/4 +( 2 1/3 ×2/7 )
Simplify : 1/7 of ( 6 3/8 -1/4 )
Simplify : 5/11 of ( 1/2 + 3/5 ) ( 12 ×5 marks)
(13)From the books presented to a school library, 1/3 are educational publications
1/5 are literary publications, 3/7 of the remaining are translations. The
remaining books are children’s stories.
(i) What fraction of the total number of books is the educational and lite
1) 0.6
2) 1
3)1.66666666667
4)0.5
5)0.91666666666
6)0.7
7)0.333333333
8)2.75
9)0.111111111111
10)0.91666666666
11)0.875
13) i think this is it
8/15
Solve x - (-9) = -14.
-23
23
5
-5
Answer:
Open the brackets for this,
x + 9 = -14
x = -14 - 9
x = -23.
-23 is the correct option.
Make a the subject of the formula where a is positive: a 6(a - 4b) = 2ac + 4d
Answer:
[tex]{ \tt{6(a - 4b) = 2ac + 4d}} \\ \\ { \tt{6a - 24b = 2ac + 4d}} \\ \\ { \tt{6a - 2ac = 4d + 24b}} \\ \\ { \tt{a(6 - 2c) = 4d + 24b}} \\ \\ { \boxed{ \tt{ \: a = \frac{4d + 24b}{6 - 2c} }}} \\ [/tex]
...
PLEASE HELP!!
What is the equation of the line —3x – 2y = 30 in slope-intercept form?
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
- 3x - 2y = 30 ( add 3x to both sides )
- 2y = 3x + 30 ( divide terms by - 2 )
y = - [tex]\frac{3}{2}[/tex] x - 15 ← in slope- intercept form
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :This is question no picture soo iam in step question before.
x² = 3² + 4²
x² = 9 + 16
x² = 25
x = 5yd✔
Use the figure below to answer the following questions.
What is m∠1?
70
50
90
40
Answer:
40
Step-by-step explanation:
why ? because the total angle measure in triangle is 180degree so we have a right angled triangle so 90+50 = 140
180-140 = 40
hope it's correct
translate 3(x-y)=2y+9 into a verbal sentence
Answer:
3 times x then minus 3 times y equal 2y plus 9
Step-by-step explanation:
Not sure if it works......
that's the verbal sentence (which is not formal sentence) i can think of now......
PLS PLS PLS HELP ME!??(
Answer:
I asked this same question and I got this answer
Step-by-step explanation:
g (x) = 2x7x24 = 336
I'm not sure bc I asked the same question and got this answer from someone...
help pls, i will link question with 50 points
1. Y = 4x-7
2. y = -5/4+ 5
3. Y = -2x + 5
4. Y = 6
5. Y = -2/7x+0
6. Y = -1/2x + 15/2
Help me please due tommorow
Answer:
b bc its the right one :D i think
5*95 math question ...................
Answer:
475
Step-by-step explanation:
the reason for this is because it just is
PLSSSS HELPPP ILL MARK BRAINLIEST SOMEONE PLSSSSSS!!!!!!!!!
Answer:
B
Step-by-step explanation:
because if you multiply the denominators
guys pls help me!!!!!!
Answer:
it's 22 degrees ..............
What is the value of x that makes this equation true?
(10 raised to the power of 4) = 10 raised to the power of x
Enter only a number as your answer.
Answer:
pot0tsafgxxgcgcycguchchcui
Help please i need to know this
Answer:true,true,false, true,false false
Step-by-step explanation:
Answer:
As shown in the attachment,
Step-by-step explanation: