Pablo wants to earn more than \( S \) trim trees? Use \( t \) for the number of hours. Write your answer as an inequal

3. The function f is such that \( \mathrm{f}(x)=\frac{k}{x} \) where \( x \neq 0 \) and \( k \) is an integer. (a) Express the inverse function \( \mathrm{f}^{-1} \) in the form \( \mathrm{f}^{-1}(x)=\ldots \)

(3) Determine the domain for which the functions \( f(x)=2 \mathrm{x}^{2}-1 \) and \( g(x)=1-3 x \) are equal. Solution:

2. \( \mathrm{f}(x)=x^{2}-4 \) \( \mathrm{~g}(x)=2 x+1 \) Solve \( \quad \mathrm{fg}(x)>0 \) Show clear algebraic working.

لف) عبارت جبرى زير را ساده كنيد.

The function g is such that \( \mathrm{g}(x)=2-3 x^{4} \) where \( x \neq 0 \) The function h is such that \( \mathrm{h}(x)=\frac{3 x}{2-x} \) where \( x \neq 2 \) (b) (i) Find \( \mathrm{g}(-2) \) (ii) Express the composite function hg in the form \( \mathrm{hg}(x)=\ldots \) Give your answer in its simplest form.