What is the inverse of f(x)=((x+9)^{1/5})/8 ?

The inverse of f(x)=((x+9)^{1/5})/8 is 32768x^5-9

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inverse of f(x)=((x+9)^{1/5})/8

inverse

f (x) = \frac{( x + 9 ) ^{\frac{1}{5}}}{8}

32768 x^{5} - 9

Solution steps

y = \frac{( x + 9 ) ^{\frac{1}{5}}}{8}

Replace

x

with

y

x = \frac{( y + 9 ) ^{\frac{1}{5}}}{8}

Solve for

y, x = \frac{( y + 9 ) ^{\frac{1}{5}}}{8}

32768 x^{5} - 9

f (x) = \frac{9 - 4 x}{4 x + 3}

2 x + 8

f (x) = \frac{x ^{\frac{1}{2}}}{7}

y = 2 ln (x + 3)

f (x) = - \frac{2}{3} x + \frac{1}{4}

What is the inverse of f(x)=((x+9)^{1/5})/8 ?
The inverse of f(x)=((x+9)^{1/5})/8 is 32768x^5-9