SOLUTION: Find the formula for the inverse of f(x)=(x+7)cubed

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Question 62184This question is from textbook Intermediate Algebra
: Find the formula for the inverse of f(x)=(x+7)cubed This question is from textbook Intermediate Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find the formula for the inverse of f(x)=(x+7)cubed
:
f(x) = y
:
(x+7)^3 = y
:
Interchange x & y and solve for y
(y+7)^3 = x
:
Find the cube root of both sides:
y + 7 = x^(1/3)
y = x^(1/3) - 7
:
Inverse f(x) = x^(1/3) - 7