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

Second Answer is -4,095

Explanation:

Answer 2

(f º g)(2) =-324

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* 81`

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