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Neporo4naja [7]
3 years ago
15

I do not know how to do this need help

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Remark

First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.

Givens

f(x) = 4x^2 + x + 1

g(x) = x^2 - 2

Discussion

What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 -  2

Wherever you see an x on either the left or right side of the equation, you put fix)

Then wherever you see f(x) on the right you put in what f(x) is equal to.

Solution

g(x) = x^2 - 2

g(f(x)) = (f(x))^2 - 2

g(f(x)) = [4x^2 + x + 1]^2 - 2

f(x)^2 =

4x^2 + x + 1

<u>4x^2 + x + 1</u>

16x^4 + 4x^3 + 4x^2

            4x^3  + x^2 +   x

<u>                         4x^2 + x  + 1</u>

16x^4 + 8x^3 + 9x^2 + 2x + 1

Answer

g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2

g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1

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Answer:

a. 1 1/2 (or 3/2)

b. 2/3

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Step-by-step explanation:

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Let's plug in the numbers for part a:

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For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.

Part B: (1,1) (5,7)

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m=(4/6)

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m=(-7-2)/(-4-5)

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