Question

MEDAL REWARDED
Find the inverse of the function.
cuberoot x/6 -7

Answer 1

@John_ES

Answer 2

As we have,
\[y=\sqrt[3]{x/6-7}\]Change x and y,
\[x=\sqrt[3]{y/6-7}\]Then solve for y,
\[x^3={y/6-7}\Rightarrow y=6x^3+42\]And that is the inverse.

Answer 3

These are my answer choices:
f-1(x) = 6(x+7)3

f-1(x) = 6(x3 + 7)

f-1(x) = 18(x + 7)

f-1(x) = [6(x+7)]3

Answer 4

@John_ES

Answer 5

Then it's the second,
\[f^{-1}(x)=6x^3+42=6(x^3+7)\]

Answer 6

Thank you so much

Answer 7

You're welcome ;).