What is the inverse of f(x)=9+(5x+9)^3 ?

The inverse of f(x)=9+(5x+9)^3 is (\sqrt[3]{x-9}-9)/5

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inverse of f(x)=9+(5x+9)^3

inverse

f (x) = 9 + (5 x + 9)^{3}

\frac{3 x - 9 - 9}{5}

Solution steps

y = 9 + (5 x + 9)^{3}

Replace

x

with

y

x = 9 + (5 y + 9)^{3}

Solve for

y, x = 9 + (5 y + 9)^{3}

\frac{3 x - 9 - 9}{5}

d o main 3 1 + ∣ x ∣ - 3

d o main f (x) = (2 x + 3) x^{2} + 8

a sy m pt o t es f (x) = 3 x + 2 - lo g_{e} (x^{2} - 1)

a sy m pt o t es f (x) = \frac{5 x + 7 x ^{4}}{4 - x ^{2}}

in v erse g (x) = 3^{x}

What is the inverse of f(x)=9+(5x+9)^3 ?
The inverse of f(x)=9+(5x+9)^3 is (\sqrt[3]{x-9}-9)/5