What is the inverse of f(x)=4-\sqrt[5]{x+2} ?

The inverse of f(x)=4-\sqrt[5]{x+2} is -x^5+20x^4-160x^3+640x^2-1280x+1022

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inverse of f(x)=4-\sqrt[5]{x+2}

inverse

f (x) = 4 - 5 x + 2

- x^{5} + 20 x^{4} - 160 x^{3} + 640 x^{2} - 1280 x + 1022

Solution steps

y = 4 - 5 x + 2

Replace

x

with

y

x = 4 - 5 y + 2

Solve for

y, x = 4 - 5 y + 2

- x^{5} + 20 x^{4} - 160 x^{3} + 640 x^{2} - 1280 x + 1022

f (x) = 7^{(x)} - 5

cot (6 x)

f (x) = \frac{2}{5} x + 15

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

f (x) = f (a) = - 4 a^{2} - 3

What is the inverse of f(x)=4-\sqrt[5]{x+2} ?
The inverse of f(x)=4-\sqrt[5]{x+2} is -x^5+20x^4-160x^3+640x^2-1280x+1022