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

The inverse of f(x)=5-\sqrt[7]{x-7} is -x^7+35x^6-525x^5+4375x^4-21875x^3+65625x^2-109375x+78132

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inverse of f(x)=5-\sqrt[7]{x-7}

inverse

- x^{7} + 35 x^{6} - 525 x^{5} + 4375 x^{4} - 21875 x^{3} + 65625 x^{2} - 109375 x + 78132

Solution steps

Replace

x

with

y

Solve for

- x^{7} + 35 x^{6} - 525 x^{5} + 4375 x^{4} - 21875 x^{3} + 65625 x^{2} - 109375 x + 78132

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

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

f (x) = - 3.5

f (x) = - \frac{2}{9} x^{5}

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

What is the inverse of f(x)=5-\sqrt[7]{x-7} ?
The inverse of f(x)=5-\sqrt[7]{x-7} is -x^7+35x^6-525x^5+4375x^4-21875x^3+65625x^2-109375x+78132