1.If f:R→Rf : \mathbb{R} \to \mathbb{R}f:R→R and g:R→Rg : \mathbb{R} \to \mathbb{R}g:R→R are defined by f(x)=∣x∣f(x) = |x|f(x)=∣x∣ and g(x)=[x−3]g(x) = [x - 3]g(x)=[x−3] for x∈Rx \in \mathbb{R}x∈R, then {g(f(x)):−85<x<85}\{g(f(x)) : -\frac{8}{5} < x < \frac{8}{5}\}{g(f(x)):−58<x<58} is equal toa.{0,1}\{0, 1\}{0,1}b.{1,2}\{1, 2\}{1,2}c.{−3,−2}\{-3, -2\}{−3,−2}d.{2,3}\{2, 3\}{2,3}Login to continueOnly logged in users canattempt or see the solution.