Question Type 3: Finding inverses for simple functions Exercises

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

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

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

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

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

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

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

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

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

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

Determine the inverse of $z(x) = \log_{5}(x + 3)$.

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