What is the inverse of h? h(x) = 6x 1

The inverse of h(x) is

Step-by-step explanation:

Given: h function, h(x) =

To find: Inverse of h function.

We are given h function in terms of x. So we equate this function with arbitrary element say y, then convert the given function of x in terms of y.

The function we obtained in term of y is the required inverse function of h.

Consider,

y = h(x)

Take log on both sides, we get

now we use rule of logarithmic function in RHS, , we get

Now using another rule of logarithmic function we get

Therefore, The inverse of h(x) is

whats the rest of it?