What is the inverse of f(x)=(4-\sqrt[5]{16x})/2 ?

The inverse of f(x)=(4-\sqrt[5]{16x})/2 is 2(-x^5+10x^4-40x^3+80x^2-80x+32)

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inverse of f(x)=(4-\sqrt[5]{16x})/2

inverse

2 (- x^{5} + 10 x^{4} - 40 x^{3} + 80 x^{2} - 80 x + 32)

Solution steps

Replace

x

with

y

Solve for

2 (- x^{5} + 10 x^{4} - 40 x^{3} + 80 x^{2} - 80 x + 32)

y = 6 x^{3}

f (x) = \frac{2100}{x} + 4 x

f (x) = \frac{2 x ^{2} - 3}{x ^{2} - 5 x + 6}

f (x) = 3 x^{2} + 2

(5, 10.388), (7, 13.312)

What is the inverse of f(x)=(4-\sqrt[5]{16x})/2 ?
The inverse of f(x)=(4-\sqrt[5]{16x})/2 is 2(-x^5+10x^4-40x^3+80x^2-80x+32)