What is the inverse of f(x)= 5/(\sqrt[3]{x+8)} ?

The inverse of f(x)= 5/(\sqrt[3]{x+8)} is (125)/(x^3)-8

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inverse of f(x)= 5/(\sqrt[3]{x+8)}

inverse

f (x) = \frac{5}{3 x + 8}

\frac{125}{x ^{3}} - 8

Solution steps

y = \frac{5}{3 x + 8}

Replace

x

with

y

x = \frac{5}{3 y + 8}

Solve for

y, x = \frac{5}{3 y + 8}

\frac{125}{x ^{3}} - 8

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

f (x) = - lo g_{5} (- \frac{1}{3} x - 1) + 6

f (x) = \frac{x}{2 x - 7}

sin (0.67)

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

What is the inverse of f(x)= 5/(\sqrt[3]{x+8)} ?
The inverse of f(x)= 5/(\sqrt[3]{x+8)} is (125)/(x^3)-8