Question

I need help finding the inverse of f(x)=3-2(x-1)^3 I need help finding the inverse of f(x)=3-2(x-1)^3 @Mathematics

Answer 1

write f(x) as y and then swap the x and the y

y = 3-2(x-1)^3

x = 3-2(y-1)^3

now solve for y again.

\[y = \sqrt[3]{(x-3)/-2}+1\]

Answer 2

ty using http://www.mathway.com/ it helps me

Answer 3

you should probably write your final answer as

\[y=\sqrt[3]{(3-x)/2}+1\]

just to get rid of the negative and make it pretty.

Answer 4

*try

Answer 5

put
\[x=3-2(y-1)^3\] and solve for y via
\[2(y-1)^3=3-x\]
\[(y-1)^3=\frac{3-x}{2}\]
\[y-1=\sqrt[3]{\frac{3-x}{2}}\]
\[y=\sqrt[3]{\frac{3-x}{2}}+1\] and so
\[f^{-1}(x)=\sqrt[3]{\frac{3-x}{2}}+1\]

Answer 6

what godspeed said