What is the inverse of f(x)=(4-7x)^{7/2} ?

The inverse of f(x)=(4-7x)^{7/2} is -(x^{2/7}-4)/7

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inverse of f(x)=(4-7x)^{7/2}

inverse

f (x) = (4 - 7 x)^{\frac{7}{2}}

- \frac{x ^{\frac{2}{7}} - 4}{7}

Solution steps

y = (4 - 7 x)^{\frac{7}{2}}

Replace

x

with

y

x = (4 - 7 y)^{\frac{7}{2}}

Solve for

y, x = (4 - 7 y)^{\frac{7}{2}}

- \frac{x ^{\frac{2}{7}} - 4}{7}

3 x - 7 y = 14

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

y = 9 x + 6

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

(4.1) (- 2.3)

What is the inverse of f(x)=(4-7x)^{7/2} ?
The inverse of f(x)=(4-7x)^{7/2} is -(x^{2/7}-4)/7