For the Given Function $f(x)$ , Find $f^{-1}(x)$ And Graph the Function and Its Inverse

Multiple Choice

For the given function $f(x)$ , find $f^{-1}(x)$ and graph the function and its inverse.
- $f(x) =\left(\frac{5}{2}\right) ^{x}$

A) $f(x) =\left(\frac{5}{2}\right) ^{x}, f^{-1}(x) =\log _{5 / 2} x$

B) $f(x) =\left(\frac{5}{2}\right) ^{x}, f^{-1}(x) =\log _{5 / 2} x$

C) $f(x) =\left(\frac{5}{2}\right) ^{x}, f^{-1}(x) =\log _{5 / 2} x$

D) $f(x) =\left(\frac{5}{2}\right) ^{x}, f^{-1}(x) =\log _{5 / 2} x$