Find the inverse of $f(x)=4e^{4x}+5$.

The function $m(x)=\sqrt{x+7}-3$ has domain $\left[-7,\infty \right)$ and range $\left[-3,\infty \right)$. State the domain and range of $m^{-1}$.

On which interval of the form $\left[a,\infty \right)$, with the smallest possible $a$, is $k(x)=x^2+6x-5$ one-to-one?

Find the inverse of $h(x)=(x-2{)}^2+1$ on the restricted domain $x\ge 2$.

The function $m(x)=\sqrt{x+1}-2$ has domain $\left[-1,\infty \right)$ and range $\left[-2,\infty \right)$. State the domain and range of $m^{-1}$.

Find the inverse of $h(x)=(x-3{)}^2+8$ on the restricted domain $x\ge 3$.

The function $m(x)=\sqrt{x+2}-5$ has domain $\left[-2,\infty \right)$ and range $\left[-5,\infty \right)$. State the domain and range of $m^{-1}$.

The function $m(x)=\sqrt{x+6}-5$ has domain $\left[-6,\infty \right)$ and range $\left[-5,\infty \right)$. State the domain and range of $m^{-1}$.

Find the inverse of $f(x)=2e^{2x}-2$.

The function $m(x)=\sqrt{x+3}-5$ has domain $\left[-3,\infty \right)$ and range $\left[-5,\infty \right)$. State the domain and range of $m^{-1}$.

Find the inverse of $h(x)=(x-1{)}^2+6$ on the restricted domain $x\le 1$.

Find the inverse of $r(x)=\frac{-3x+5}{x+5}$.

Find the inverse of $g(x)={\log }_2(x-1)+4$.

For $f(x)=\frac{x-3}{2}$ and $g(x)=2x+9$, simplify $f(g(x))$.

Find the inverse of $f(x)=5e^{3x}+4$.

Find the inverse of $f(x)=3e^{3x}-1$.

For $f(x)=\frac{x-5}{2}$ and $g(x)=2x-3$, simplify $f(g(x))$.

Find the inverse of $g(x)={\log }_4(x-5)+3$.

For $f(x)=\frac{x+1}{4}$ and $g(x)=4x-5$, simplify $f(g(x))$.

For $f(x)=\frac{x+6}{6}$ and $g(x)=6x-6$, simplify $f(g(x))$.

Find the inverse of $g(x)={\log }_3(x-3)+4$.

Find the inverse of $g(x)={\log }_3(x-5)+2$.

The function $m(x)=\sqrt{x+4}-6$ has domain $\left[-4,\infty \right)$ and range $\left[-6,\infty \right)$. State the domain and range of $m^{-1}$.

For $f(x)=\frac{x-4}{5}$ and $g(x)=5x-1$, simplify $f(g(x))$.

Find the inverse of $g(x)={\log }_3(x-3)+1$.

On which interval of the form $\left[a,\infty \right)$, with the smallest possible $a$, is $k(x)=x^2-6x+3$ one-to-one?

On which interval of the form $\left[a,\infty \right)$, with the smallest possible $a$, is $k(x)=x^2+2x+11$ one-to-one?

Find the inverse of $h(x)=(x-5{)}^2+8$ on the restricted domain $x\le 5$.

Find the inverse of $f(x)=2e^{4x}-6$.

Find the inverse of $r(x)=\frac{-3x+4}{x-2}$.

Find the inverse of $f(x)=4e^{4x}+6$.

Find the inverse of $h(x)=(x-6{)}^2+3$ on the restricted domain $x\ge 6$.

On which interval of the form $\left[a,\infty \right)$, with the smallest possible $a$, is $k(x)=x^2-10x-5$ one-to-one?

Find the inverse of $h(x)=(x-1{)}^2+1$ on the restricted domain $x\ge 1$.

On which interval of the form $\left[a,\infty \right)$, with the smallest possible $a$, is $k(x)=x^2-10x-1$ one-to-one?

Find the inverse of $r(x)=\frac{-4x+4}{x+3}$.

Find the inverse of $g(x)={\log }_3(x-2)+4$.

On which interval of the form $\left[a,\infty \right)$, with the smallest possible $a$, is $k(x)=x^2+8x-1$ one-to-one?

Find the inverse of $h(x)=(x-3{)}^2+7$ on the restricted domain $x\ge 3$.

The function $m(x)=\sqrt{x+2}-3$ has domain $\left[-2,\infty \right)$ and range $\left[-3,\infty \right)$. State the domain and range of $m^{-1}$.