What is the inverse of f(x)=((x-5)^7)/2 ?

The inverse of f(x)=((x-5)^7)/2 is \sqrt[7]{2}\sqrt[7]{x}+5

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inverse of f(x)=((x-5)^7)/2

inverse

f (x) = \frac{( x - 5 ) ^{7}}{2}

Solution steps

y = \frac{( x - 5 ) ^{7}}{2}

Replace

x

with

y

x = \frac{( y - 5 ) ^{7}}{2}

Solve for

y, x = \frac{( y - 5 ) ^{7}}{2}

f (x) = \frac{2 x + 5}{3}

f (x) = \frac{8 - 3 x}{1 - 2 x}

y = 2 x + \frac{5}{2}

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

g (x) = 2 x + 8

What is the inverse of f(x)=((x-5)^7)/2 ?
The inverse of f(x)=((x-5)^7)/2 is \sqrt[7]{2}\sqrt[7]{x}+5