contestada

For all values of x,
f(x) = 2x - 3
and
g(x) = x2 + 1
a) Find fg(x).
Simplify and give your answer in the form ax2 + b
b) Find gf(x).
Simplify and give your answer in the form ax2 + bx + c
I DONT NEED THE ANSWER TO A, I JUST NEED B

Respuesta :

whitneytr12

Answer:

The composition g(f(x)) is:

[tex]g(f(x))=4x^{2}-12x+10[/tex]

Step-by-step explanation:

b) g(f(x)) is a function composition.

So we will have:

[tex]g(f(x))=(f(x))^{2}+1[/tex]

[tex]g(f(x))=(2x-3)^{2}+1[/tex]

[tex]g(f(x))=4x^{2}-12x+9+1[/tex]

[tex]g(f(x))=4x^{2}-12x+10[/tex]

Here:

a is 4

b is -12

c is 10

I hope it helps you!

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