Question

Given the functions f(x)=x2−9x−10 and g(x)=x+1, find fg(x).

Answer 1

Answer:

The value of $f(g(x))$ is $x^2-7x-18$

Step-by-step explanation:

Given:

$f(x)=x^2-9x-10\\\\g(x)=x+1$

We need to find $f(g(x))$

By substituting $g(x)$ in $f(g(x))$ we get:

$f(x+1)$

The value of $f(x+1)$ will be

$f(x+1)=(x+1)^2-9(x+1)-10\\\\f(x+1)=x^2+2x+1-9x-9-10\\\\f(x+1)=x^2-7x-18$