Question

To determine the inverse of the given function change f(x) to y switch and y and solve for

Answer 1

x, y, 3, and 0

Answer 2

x, y, 4, 0

Explanation:

To determine the inverse of the given function change f(x) to y switch x and y and solve for y.

f(x) = sqrt(x - 4)

y = sqrt(x - 4)

x = sqrt(y - 4)

x^2 = y - 4

x^2 + 4 = y

y = x^2 + 4

The domain of the inverse is the same as the range of the original function.

inverse f(x) = x^2 + 4

x^2 + 4 >= 4

x^2 >= 0

x >= 0

The resulting function can be written as inverse f(x) = x^4 + 4, where x >= 0.