Question

Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work.

Answer 1

@Baby_Bear69

Answer 2

is my work right?

F(x)=4x^2+x+1
G(x)=x^2-2
G(f(x))=(4x^2+X+1)^2-2
G(f(x))=16X^4+X^2+1^2+2.4X^2+X+2.4X^2+1+2X-2
G(f(x))= 16X^4 +8X^3+9x^2+2X-1

Answer 3

@mayankdevnani

Answer 4

\[\large \bf gof(x)=g(f(x))\]
Simply put function f(x) into function g(x) in place of variable.

Answer 5

so 4x^2+x+1=x^2-2

Answer 6

nope

Lemme tell you

Answer 7

\[\large \bf f(x)=4x^2+x+1\]
\[\large \bf g(x)=x^2-2\]
\[\large \bf g(f(x))=(4x^2+x+1)^2-2\]
in additional ,
\[\large \bf f(g(x))=4(x^2-2)^2+(x^2-2)+1\]

Answer 8

hope you understand ! @Motown117

Answer 9

ok i see where i went wrong

Answer 10

:D

Answer 11

thank you for the clarification and the help

Answer 12

your welcome :)