The piecewise function is defined by q(x)= cases x+2, & x 0

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The piecewise function

q

is defined by

q(x)=\begin{cases} x+2, & x\le 0,\\ x^{2}+1, & x>0. \end{cases}

Identify all maximal intervals on which

q

has a continuous inverse, and state the domain of each corresponding branch of

q^{-1}