SOLUTION: Please help me solve this inverse function problem with steps. f(x)= -3x^3-5 Thank you!

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Question 1006762: Please help me solve this inverse function problem with steps.
f(x)= -3x^3-5
Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1) Replace f(x) with y
Step 2) Swap x and y
Step 3) Solve for y


f%28x%29=+-3x%5E3-5+


y=+-3x%5E3-5+ Step 1)


x=+-3y%5E3-5+ Step 2)


Now we solve for y.


x%2B5=+-3y%5E3-5%2B5+ Add 5 to both sides


x%2B5=+-3y%5E3+


-3y%5E3=x%2B5


%28-3y%5E3%29%2F%28-3%29=%28x%2B5%29%2F%28-3%29 Divide both sides by -3


y%5E3=-%28x%2B5%29%2F3


root%283%2Cy%5E3%29=root%283%2C-%28x%2B5%29%2F3%29 Apply the cube root to both sides


y=root%283%2C-%28x%2B5%29%2F3%29


The inverse function is