Mathematics High School

given that
f(n) = n^2 - 4n + 3
& g(n) = 2n - 1
find gf(-2)

Answers

Answer 1

Answer:

The value of [tex]gf\left(-2\right)[/tex] will be:

[tex]gf\left(-2\right)=29[/tex]

Step-by-step explanation:

Given the functions

[tex]f(n) = n^2 - 4n + 3[/tex]

[tex]g\left(n\right)\:=\:2n\:-\:1[/tex]

[tex]f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3[/tex]

           [tex]=\left(-2\right)^2+4\cdot \:2+3[/tex]

           [tex]=2^2+4\cdot \:2+3[/tex]

            [tex]=2^2+8+3[/tex]

            [tex]=4+11[/tex]

            [tex]=15[/tex]

so

[tex]gf\left(-2\right)=g\left(15\right)[/tex]

             [tex]=2n-1=2\left(15\right)-1=30-1=29[/tex]

Therefore,

[tex]gf\left(-2\right)=29[/tex]

Related Questions

FIRST, FASTEST CORRECT ANSWER GETS BRAINLIEST

Here is a triangular prism.
7.8 cm
16 cm
5.4 cm
Work out the volume of the prism in cm'.
Give your answer correct to 3 significant figures.

Needed ASAP!



Answers

Answer:

124.8

Step-by-step explanation:

Because the formula of a prism is v=bh so you would multiply 16x7.8 and get 124.8

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Answer:

did you put a picture or a question?

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Answer:

1) c=100

2) x^4-40x^3+400x^2

Step-by-step explanation:

When I write ^# that means it's squared and has a number above it :)

You're welcome :)

find a factor of 6x^2+ 13x - 15​

Answers

Answer:

(6x-5)(x-3)

Step-by-step explanation:

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

30.5

Step-by-step explanation:

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The lengths of four insects are 0.02 inch, 1 8 inch, 0.1 inch, and 2 3 inch. List the lengths in inches from least to greatest.

Answers

Answer:

0.1,0.2,1.8,2.3

Step-by-step explanation:

Answer:

.02, .1, 1/8, 2/3

Step-by-step explanation:

help please! Thanks!

Answers

answer: 2/3
1/3 * 2= 2/ 3

Answer:

2/3

Step-by-step explanation:

the equation is [tex]\frac{\frac{1}{y}}{\frac{1}{x}}[/tex], and when the values of x and y are substituted in, you get the fraction 1/3 over the fraction 1/2. when simplified, this is 2/3.

Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?

Answers

Answer:

nile blue should be the correct answer

Step-by-step explanation:

Y=x^2-10x-18
Write down the information that can be obtained from the equation above?
Determine the vertex form

Answers

Answer:

Vertex form is y=(x-5)^2-43

Step-by-step explanation:

Given expression: x^2-10x-18

Take half of b:

-10/2=-5

Square the result:

-5^2=25

Add and subtract into original expression:

x^2-10x+25-25-18

Factor and simplify:

(x^2-10x+25)-25-18

(x-5)^2-25-18

(x-5)^2-43

So the vertex form is y=(x-5)^2-43

Mr. Austin is driving 390 miles to visit the Gateway Arch in St. Louis, Missouri. He dries at an average rate of 65 miles per hour. How much time will it take Mr. Austin to get to the arch?

Answers

Answer:

the time needed to get to the arch is 6 per hour

Step-by-step explanation:

The computation of the time needed to get to the arch is shown below:

As we know that

Speed = distance ÷ time

where,

Speed is 65 miles per hour

And, the distance is 390 miles

So, the time is

= 390 ÷ 65

= 6 per hour

Hence, the time needed to get to the arch is 6 per hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

Hello
Thank you :)
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is this a function?

Justify your answer.

Answers

Yes it’s a function because it has an x value

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Answers

Answer:

c = 4

Step-by-step explanation:

x + 5x = 12/5

30x = 12

[tex]x_{1}[/tex] = 2/5

[tex]x_{2}[/tex] = 2

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(5x - 2)(x - 2) = 0

5x² - 12x + 4 = 0

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Answers

Answer:

[tex]x=(-12,0)[/tex]

[tex]y=(0,3)[/tex]

Step-by-step explanation:

x-intercept

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[tex]x-4y=-\frac{24}{2}[/tex]

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y-intercept

[tex]-2(x-4y)=24[/tex]

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[tex]x-4y=-12[/tex]

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[tex]y=\frac{12}{4}[/tex]

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Answers

Answer:

- 19

Step-by-step explanation:

Step 1:

d + 7 ÷ - 3 = 4        Equation

Step 2:

d + 7 = - 12        Multiply

Step 3:

d = - 12 - 7      Subtract

Answer:

d = - 19

Hope This Helps :)

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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10
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Answers

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Answers

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Answers

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Mrs. Loar has to grade 75 papers. Mrs. Holt is helping her grade. Mrs. Loar graded 60 papers and Mrs. Holt graded the rest.

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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