I cant figure out how to solve this problem!!
f-1(x) denotes the inverse, not 1/f(x),
Let x = (f-1(x))^3 + 5
x - 5 = (f-1(x))^3
f-1(x) = (x - 5)^(1/3)
Find the inverse function of f(x)=x^3+5
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2 Answers
y = x3 + 5 . Solve this equation for x:
x3 = y - 5 ---> (x3)1/3 = (y - 5)1/3 ---> x = (y - 5)1/3 , now type y instead of x, and x instead of y
y = (x - 5)1/3
in term of f(x) ----> f-1(x) = (x - 5)1/3