Question

Evaluate the compositions indicated for the given functions. f(x) = −4x2, g(x) = x3 + 1 (f º g)(2) = ? –4,095 –324 –255 –196

Answer 1

Answer:

(f º g)(2) =-324

Step-by-step explanation:

we are given

$f(x)=-4x^2$

$g(x)=x^3+1$

Firstly, we will find f(g(x))

we can replace x as g(x) into f(x)

$f(g(x))=-4(g(x))^2$

now, we can plug back

$g(x)=x^3+1$

we get

$f(g(x))=-4(x^3+1)^2$

now, we can plug x=2

$f(g(2))=-4(2^3+1)^2$

$f(g(2))=-4(9)^2$

$f(g(2))=-4\times 81$

$f(g(2))=-324$