IB Mathematics Analysis and Approaches Question Type 3: Finding Inverses for Simple Functions Exercises

Determine the inverse of $g(x)=\frac{x-5}{7}$.

Find the inverse of $u(x)=x^3-4$.

Find the inverse of $w(x)=\frac{3x-2}{x+1}$.

Find the inverse of the function $f(x)=2x+3$.

Determine the inverse of $v(x)=x^2-9$, given $x\ge 3$.

Find the inverse of $q(x)=e^{2x}+1$.

Find the inverse function of $p(x)=\ln (3x)$.

Determine the inverse of $z(x)={\log }_5(x+3)$.

Find the inverse of $h(x)=5-2x$.

Find the inverse of $r(x)=\sqrt{2x+5}$.

Find the inverse function of $s(x)=\frac{1}{x+3}$.

Determine the inverse of $h(x)=32+4e^x$.