Question

How would I find the inverse of this function? http://prntscr.com/47l4ao

Answer 1

I don't know, you can try asking @mathstudent55

Answer 2

@zepdrix

Answer 3

\[\Large\rm f(x)=\sqrt[3]{\frac{x}{7}}-9\]Rewrite f(x) as y, easier to work with I guess,\[\Large\rm y=\sqrt[3]{\frac{x}{7}}-9\]To find the inverse, you swap the x's and y's,\[\Large\rm x=\sqrt[3]{\frac{y}{7}}-9\]then solve for your new y.

Answer 4

From here, you just have to do all the inverse operations to isolate your y.
We're subtracting 9, yes? So add 9.
We're taking a cube root, yes? So cube each side.
And so on..

Answer 5

Thanks zep