Question

for f(x) = √x and g(x) = x + 1, find the following functions. a. (f ∘ g)(x); b. (g ∘ f)(x); c. (f ∘ g)(3); d. (g ∘ f)(3) a. (f ∘ g)(x) = √x + 1 (simplify your answer.) b. (g ∘ f)(x) = (simplify your answer.)

Explanation:

Step1: Recall composition formula

$(g\circ f)(x)=g(f(x))$

Step2: Substitute $f(x)$ into $g(x)$

Since $f(x)=\sqrt{x}$ and $g(x)=x + 1$, then $g(f(x))=\sqrt{x}+1$

Answer:

$\sqrt{x}+1$