What is the inverse of f(x)=(6-8t)^{(5/2)} ?

The inverse of f(x)=(6-8t)^{(5/2)} is -(t^{2/5}-6)/8

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inverse of f(x)=(6-8t)^{(5/2)}

inverse

f (x) = (6 - 8 t)^{(\frac{5}{2})}

- \frac{t ^{\frac{2}{5}} - 6}{8}

Solution steps

x = (6 - 8 t)^{\frac{5}{2}}

Replace

t

with

x

t = (6 - 8 x)^{\frac{5}{2}}

Solve for

x, t = (6 - 8 x)^{\frac{5}{2}}

- \frac{t ^{\frac{2}{5}} - 6}{8}

f (x) = 5 x^{6} - 5 x^{5}

f (x) = 2 sin (7 x)

f (x) = \frac{7 x}{x ^{2} - 16}

f (x) = \frac{7}{x - 4}

f (x) = 2 x - 78

What is the inverse of f(x)=(6-8t)^{(5/2)} ?
The inverse of f(x)=(6-8t)^{(5/2)} is -(t^{2/5}-6)/8