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

The inverse of f(x)=3((x+4)/4)^{1/5} is (4x^5)/(243)-4

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inverse of f(x)=3((x+4)/4)^{1/5}

inverse

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

\frac{4 x ^{5}}{243} - 4

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{4 x ^{5}}{243} - 4

f (x) = cosh (x)

f (x) = 8 - 5 x^{3}

f (x) = \frac{100000}{100 + 900 e ^{- x}}

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

f (x) = e^{2 - x}

What is the inverse of f(x)=3((x+4)/4)^{1/5} ?
The inverse of f(x)=3((x+4)/4)^{1/5} is (4x^5)/(243)-4