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

Solution:

To the find the inverse of the function h(x) we proceed as follows:

Let y = h(x) = 6x + 1

y = 6x + 1

Express x in terms of y, therefore we get

x = (y - 1)/6

By replacing x by y and y by x we get the inverse of the function h(x)

y = (x - 1)/6

h⁻¹(x) = (x - 1)/6

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

Summary:

The inverse of h(x) = 6x + 1 is (x - 1)/6