# Is the inverse of an exponential function the quadratic function?

No. The inverse of an exponential function is a logarithmic function.

### When can a quadratic function have an inverse?

It depends on the domain and codomain. In complex numbers, that is, when the domain and codomain are both C, every quadratic always has an inverse. If the range of the quadratic in the form ax2 + bx + c = 0 is the set of real numbers, R, then the function has an inverse if (a) b2 - 4ac ≥ 0 and (b) the range of the inverse is defined as x ≥ 0…

### A logarithmic function is the same as an exponential function?

Apex: false A logarithmic function is not the same as an exponential function, but they are closely related. Logarithmic functions are the inverses of their respective exponential functions. For the function y=ln(x), its inverse is x=ey For the function y=log3(x), its inverse is x=3y For the function y=4x, its inverse is x=log4(y) For the function y=ln(x-2), its inverse is x=ey+2 By using the properties of logarithms, especially the fact that a number raised to a…