What is the inverse of f(x)=5(x-1)^3+4 ?

The inverse of f(x)=5(x-1)^3+4 is \sqrt[3]{(x-4)/5}+1

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inverse of f(x)=5(x-1)^3+4

inverse

f (x) = 5 (x - 1)^{3} + 4

3 \frac{x - 4}{5} + 1

Solution steps

y = 5 (x - 1)^{3} + 4

Replace

x

with

y

x = 5 (y - 1)^{3} + 4

Solve for

y, x = 5 (y - 1)^{3} + 4

3 \frac{x - 4}{5} + 1

f (x) = 3 x^{2} + 6 x + 10

sec (θ)

f (x) = \frac{200}{x ^{3}}

1 - e^{- λ x}

(x + 3)^{4}

What is the inverse of f(x)=5(x-1)^3+4 ?
The inverse of f(x)=5(x-1)^3+4 is \sqrt[3]{(x-4)/5}+1