Question

How do i find f(x) = 5x + 10; g(x) = 5x - 1Find (f∘g)(x).

Answer 1

Given the functions:

`\begin{gathered} f(x)=x²+1 \\ g(x)√(x)-1 \end{gathered}`

to find the composition f(g(x)), we have to evaluate the whole expression for g inside of f. Then, we get the following:

`\begin{gathered} (f\circ g)(x)=f(g(x))=f(√(x)+1)=(√(x)-1)²+1 \\ =x-2√(x)+2 \end{gathered}`

therefore, f(g(x)) = x -2sqrt(x)+2 which is different than f(g(x)) = x.