What is the inverse of f(x)=(8-10x)^{7/2} ?

The inverse of f(x)=(8-10x)^{7/2} is -(x^{2/7}-8)/(10)

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inverse of f(x)=(8-10x)^{7/2}

inverse

f (x) = (8 - 10 x)^{\frac{7}{2}}

- \frac{x ^{\frac{2}{7}} - 8}{10}

Solution steps

y = (8 - 10 x)^{\frac{7}{2}}

Replace

x

with

y

x = (8 - 10 y)^{\frac{7}{2}}

Solve for

y, x = (8 - 10 y)^{\frac{7}{2}}

- \frac{x ^{\frac{2}{7}} - 8}{10}

f (x) = \frac{x ^{4}}{x ^{2} + 6}

(2.5) (- 4.7)

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

- 2 x^{2} + 12 x - 14

f (x) = \frac{- 2 x + 35}{x ^{2} + 7 x}

What is the inverse of f(x)=(8-10x)^{7/2} ?
The inverse of f(x)=(8-10x)^{7/2} is -(x^{2/7}-8)/(10)