What is the inverse of f(x)=(1-4x)/(2x+7) ?

The inverse of f(x)=(1-4x)/(2x+7) is (1-7x)/(2(2+x))

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inverse of f(x)=(1-4x)/(2x+7)

inverse

f (x) = \frac{1 - 4 x}{2 x + 7}

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

Solution steps

y = \frac{1 - 4 x}{2 x + 7}

Replace

x

with

y

x = \frac{1 - 4 y}{2 y + 7}

Solve for

y, x = \frac{1 - 4 y}{2 y + 7}

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

9

- \frac{1}{x} - 1

(x - 3) e^{9 x - 3}

f (x) = 3 x 4 x^{2} + 3

3 - x

What is the inverse of f(x)=(1-4x)/(2x+7) ?
The inverse of f(x)=(1-4x)/(2x+7) is (1-7x)/(2(2+x))