Question

Can someone please help me with this math question? Please? I'll fan and give a medal!!

Answer 1

Find the inverse of f(x) = x3. Is the inverse a function? Explain

Answer 2

@Abbles could you please try to help me?

Answer 3

first change f(x) to y
then switch x to y, and y to an x
finally solve for y :P

Answer 4

Ok I did that but I couldn't figure out how to solve for y...
by the way it's
f(x) = x^3
I typed it wrong in the first post

Answer 5

Yeah, I realized.

We just have to take the cube root to solve for y :P

Answer 6

so you mean, y=^3? thats the answer?

Answer 7

for example:

x = y^2

take the square root on both sides

\(y = \sqrt{x}\)

Answer 8

Following @TheSmartOne 's instructions, you'd have these steps (or similar)


\[\Large f(x) = x^3\]
\[\Large y = x^3\]
\[\Large x = y^3\]
\[\Large y^3 = x\]
\[\Large y = \sqrt[3]{x}\]
\[\Large f^{-1}(x) = \sqrt[3]{x}\]

Answer 9

how did you get the f^-1?

Answer 10

f^(-1) means the inverse function of f(x)

Answer 11

oh okay, so that is the answer

Answer 12

after you swap x and y, then solve for y, the result of solving for y leads you to the inverse of f(x). The notation f^(-1) is notation for the inverse of f(x)

Answer 13

oh alright, I think i understand. thank y'all for all the help!!

Answer 14

Anytime! :)