Consider the function f(x)= cases x^ 2 -4 x-2 , & x<1, 3x x^ 2 -9 , & x 1

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the function

f(x)=\begin{cases}\dfrac{x^{2}-4}{x-2}, & x<1,\\ \dfrac{3x}{x^{2}-9}, & x\ge 1.\end{cases}

Find the complete domain of

f(x)