The function f f\,f is defined by
f(x)=1x+2,x∈R,x≠−2 f(x) = \frac{1}{x+2}, \quad x \in \mathbb{R}, x \neq -2 f(x)=x+21,x∈R,x=−2 g(x)=x2−5,x∈R g(x) = x^2 - 5, \quad x \in \mathbb{R} g(x)=x2−5,x∈RWrite down the range of f(x)f(x)f(x)
Find an expression for f−1(x)f^{-1}(x)f−1(x) and state its domain
Solve fg(x)=12\displaystyle fg(x) = \frac{1}{2}fg(x)=21