What is the inverse of f(x)=-2(x-1)^3+5 ?

The inverse of f(x)=-2(x-1)^3+5 is -\sqrt[3]{(x-5)/2}+1

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inverse of f(x)=-2(x-1)^3+5

inverse

f (x) = - 2 (x - 1)^{3} + 5

Solution steps

y = - 2 (x - 1)^{3} + 5

Replace

x

with

y

x = - 2 (y - 1)^{3} + 5

Solve for

y, x = - 2 (y - 1)^{3} + 5

9 x - 8 y - 24 = 0

f (x) = - \frac{1}{5} x + 2

g (x) = x^{2} + 1

x^{2} + 8 x + 15

f (x) = 2 (3^{x})

What is the inverse of f(x)=-2(x-1)^3+5 ?
The inverse of f(x)=-2(x-1)^3+5 is -\sqrt[3]{(x-5)/2}+1