Question

Use the function: f(x) = x^3 + 2

To determine if the function has an inverse you could:
Select one:
a. Switch the x and y variables then solve for y in the new equation
b. Graph the equation and apply the Horizontal Line Test
c. Both A and B
d. A only

Answer 1

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 2

Why does it say a and a only? XD

Answer 3

yea so its gonna be x=y^3+2 right

Answer 4

haha i don't know

Answer 5

so in this case its a or d

Answer 6

You can also do a horizontal line test

Answer 7

really?

Answer 8

i guess you could ive never done it that waay

Answer 9

well if you put horizontal lines it will tell you that f^-1(x) is a function, so the horizontal line test tells us if any horizontal line intersects a line of f(x) more than once, than f^-1(x) is not a function.