What is the inverse of f(x)=6-\sqrt[7]{x-1} ?

The inverse of f(x)=6-\sqrt[7]{x-1} is -x^7+42x^6-756x^5+7560x^4-45360x^3+163296x^2-326592x+279937

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inverse of f(x)=6-\sqrt[7]{x-1}

inverse

- x^{7} + 42 x^{6} - 756 x^{5} + 7560 x^{4} - 45360 x^{3} + 163296 x^{2} - 326592 x + 279937

Solution steps

Replace

x

with

y

Solve for

- x^{7} + 42 x^{6} - 756 x^{5} + 7560 x^{4} - 45360 x^{3} + 163296 x^{2} - 326592 x + 279937

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

f (x) = - \frac{1}{5} x - \frac{3}{5}

f (x) = - 2 x - 8

y = \frac{1}{2} x - 5

y = \frac{1}{2} x + 4

What is the inverse of f(x)=6-\sqrt[7]{x-1} ?
The inverse of f(x)=6-\sqrt[7]{x-1} is -x^7+42x^6-756x^5+7560x^4-45360x^3+163296x^2-326592x+279937