Question

Pre-calculus, I need major help. Tutoring has done almost nothing for me and I'm majorly confused, explanations and any help would be GREATLY appreciated!​

Answer 1

Answer: B

To find the inverse, replace f(x) with y and then interchange x and y. Solve for y and then replace y with f -1(x) in the new equation. If any vertical line passes through the graph of f -1(x) more than once, the relation is not a function. If any horizontal line passes through the graph of f(x) more than once, the inverse is not a function.

Just passed the test

Answer 2

y = ±(x/4)^¼; f⁻¹(x) is not a function

Explanation:

y = 4x⁴

To find the inverse, switch x and y, and solve for y.

x = 4y⁴

x/4 = y⁴

y = ±(x/4)^¼

This is not a function. Because of the ±, y can have two values for any non-zero value of x.