What is the inverse of f(x)=1.411496x^{0.781129} ?

The inverse of f(x)=1.411496x^{0.781129} is (x/(1.411496))^{4907/3833}

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inverse of f(x)=1.411496x^{0.781129}

inverse

f (x) = 1.411496 x^{0.781129}

(\frac{x}{1.411496})^{\frac{4907}{3833}}

Solution steps

y = 1.411496 x^{0.781129}

Replace

x

with

y

x = 1.411496 y^{0.781129}

Solve for

y, x = 1.411496 y^{0.781129}

(\frac{x}{1.411496})^{\frac{4907}{3833}}

y = 2 x + \frac{5}{2}

2 (x - 2)^{2} - 1

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

What is the inverse of f(x)=1.411496x^{0.781129} ?
The inverse of f(x)=1.411496x^{0.781129} is (x/(1.411496))^{4907/3833}