What is the inverse of f(x)=8(x^7+8)^{1/2} ?

The inverse of f(x)=8(x^7+8)^{1/2} is \sqrt[7]{(x^2-512)/(64)}

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inverse of f(x)=8(x^7+8)^{1/2}

inverse

f (x) = 8 (x^{7} + 8)^{\frac{1}{2}}

Solution steps

y = 8 (x^{7} + 8)^{\frac{1}{2}}

Replace

x

with

y

x = 8 (y^{7} + 8)^{\frac{1}{2}}

Solve for

y, x = 8 (y^{7} + 8)^{\frac{1}{2}}

(0, \frac{1}{2}), (- \frac{2}{3}, 0)

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

f (x) = 2 - x + 7

f (x) = \frac{x}{x - 4}

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

What is the inverse of f(x)=8(x^7+8)^{1/2} ?
The inverse of f(x)=8(x^7+8)^{1/2} is \sqrt[7]{(x^2-512)/(64)}