Let $A=\{2,3,4,5\}$and $B=\{7,9,11,13\}$, and

Let  $f=(2,7),(3,9),(4,11),(5,13).$

Show that $f$is invertible and find $f^{-1}$

Show that the function $f : R \to R : f\left(x\right) = 2x + 3$ is invertible and find $f^{-1}$.

Let $f : Q \to Q : f\left(x\right) = 3x-4$. Show that $f$ is invertible and find $f^{-1}$.

Let $f:R\to R:f\left(x\right)=\frac{1}{2}(3x+1)$. Show that $f$ is invertible and find $f^{-1}$.

If $f\left(x\right)=\frac{(4x+3)}{(6x-4)}, x\ne \frac{2}{3}$ show that $(f o f) \left(x\right) = x$ for all $x\ne \frac{2}{3}$. Hence, find $f^{-1}$.

Show that the function $f$on $\mathrm{A}=\mathrm{R}-\left\{\frac{2}{3}\right\}$ defined as $f\left(x\right)=\frac{4x+3}{6x-4}$ is one-one and onto. Hence, find $f^{-1}$.

Show that the function $f$ on $A=R-\left\{\frac{-4}{3}\right\}$ into itself, defined by $f\left(x\right)=\frac{4x}{(3x+4)}$ is one-one and onto. Hence, find $f^{-1}$

Let $R^{+}$ be the set of all positive real numbers. Show that the function $f:R^{+}\to [-5,\infty ):f\left(x\right)=\left(9x^2+6x-5\right)$ is invertible. Find $f^{-1}$.

 Let $f:N\to R:f\left(x\right)=4x^2+12x+15$. Show that $f: N \to$range $\left(f\right)$ is invertible. Find $f^{-1}$