Question

find \[f ^{-1}\] (x)

f(x) = sqrt[3]{x-7}

Answer 1

First you replace f(x) with y. Then you swap x and y. Afterwards you solve for y to get the inverse

\[\Large f(x) = \sqrt[3]{x-7}\]

\[\Large y = \sqrt[3]{x-7}\]

\[\Large x = \sqrt[3]{y-7}\]

\[\Large x^3 = y-7\]

I'll let you finish

Answer 2

Im a little lost still would it be \[y=x ^{3}+7\]

Answer 3

you are correct, the last step would be to replace y with the inverse function notation symbol to get

\[\Large f^{-1}(x) = x^3 + 7\]

but you pretty much have it

Answer 4

oh awesome it just didn't seem right this math is killing me

Answer 5

just gotta trust yourself a bit more and keep practicing

it'll get better

Answer 6

thank you

Answer 7

yw