Question

If f(x)=x²-6 x+2 and g(x)=-2x, find the following composition. (g ° f)(5) (g ° f)(5)=

Answer 1

What the composite function in the question is actually trying to explain is;

• $(gof)(x)=g(f(5))$

First of all, in the function $F(x)$, we will find a result by writing $5$ where we see the letter $x$.

• $F(5)=5^2-6(5)+2=-3$

We will write this result in the $G(x)$ function where we see the letter $x$ and we will get the result.

• $G(-3)=-2(-3)=6$