What is the inverse of f(x)=4(-2x-9)^3 ?

The inverse of f(x)=4(-2x-9)^3 is -(\sqrt[3]{x/4}+9)/2

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inverse of f(x)=4(-2x-9)^3

inverse

f (x) = 4 (- 2 x - 9)^{3}

Solution steps

y = 4 (- 2 x - 9)^{3}

Replace

x

with

y

x = 4 (- 2 y - 9)^{3}

Solve for

y, x = 4 (- 2 y - 9)^{3}

f (x) = (x) - 1

f (x) = ln (x) - 6

\frac{7 x - 2}{4 x + 9}

6 x - x^{2} - 5

3 + sin (\frac{2 π}{3} x)

What is the inverse of f(x)=4(-2x-9)^3 ?
The inverse of f(x)=4(-2x-9)^3 is -(\sqrt[3]{x/4}+9)/2