Question

does f(x)= x^3-5x+10 have an inverse function?

Answer 1

You can answer this. Solve for \(x\) in terms of \(y\)

Answer 2

Notice that \[f(0)=f(\sqrt{5})=f(-\sqrt{5})\]

What does that tell you about the possibility of an inverse existing?

Answer 3

Do you need to prove its a bijection?

Answer 4

Do it! Prove that sh*t!

Answer 5

The question says "does it have an inverse". If you can show that a y exists for which there is more than one x mapping to it, you're done - no inverse. That sh*t is proved! :) lol