Question #41170

Question

578 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-26T16:50:13

#f(x)=2x^3-1#

Set the function as #x=y#

#therefore x = 2y^3-1#

Now rearrange for #y#.

#x+1=2y^3#

#(x+1)/2 = y^3#

#root(3)((x+1)/2) = y#

Now replace the #y# with #f^-1(x)#

#f^-1(x) = root(3)((x+1)/2)#