The two functions f and g are inverse functions if and only if both of their compositions are the identity function.
No
Practice makes perfect
We want to determine whether the given pair of functions are inverse functions.
f(x)=2x+5 and g(x)=2x-5
To do so, we need to verify that the compositions of f(x) and g(x) are the identity function.
Calculating [f ∘ g](x)
Recall that [f ∘ g](x) = f(g(x)). To find the expression, we will start by substituting 2x-5 for g(x).
