What is the inverse of f(x)=(x^5+2)^{1/4} ?

The inverse of f(x)=(x^5+2)^{1/4} is \sqrt[5]{x^4-2}

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inverse of f(x)=(x^5+2)^{1/4}

inverse

f (x) = (x^{5} + 2)^{\frac{1}{4}}

Solution steps

y = (x^{5} + 2)^{\frac{1}{4}}

Replace

x

with

y

x = (y^{5} + 2)^{\frac{1}{4}}

Solve for

y, x = (y^{5} + 2)^{\frac{1}{4}}

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

y = \frac{1}{e ^{x}}

f (x) = 5 x - 7 y = 35

- 4 x

(5, 10), (- 1, 1)

What is the inverse of f(x)=(x^5+2)^{1/4} ?
The inverse of f(x)=(x^5+2)^{1/4} is \sqrt[5]{x^4-2}