What is the inverse of f(x)=(1-5x)/(3x+7) ?

The inverse of f(x)=(1-5x)/(3x+7) is (1-7x)/(3x+5)

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inverse of f(x)=(1-5x)/(3x+7)

inverse

f (x) = \frac{1 - 5 x}{3 x + 7}

\frac{1 - 7 x}{3 x + 5}

Solution steps

y = \frac{1 - 5 x}{3 x + 7}

Replace

x

with

y

x = \frac{1 - 5 y}{3 y + 7}

Solve for

y, x = \frac{1 - 5 y}{3 y + 7}

\frac{1 - 7 x}{3 x + 5}

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

(13, 1), (19, 0)

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

\frac{x ^{3} + 3 x ^{2} - 4 x}{- 4 x ^{2} + 4 x + 8}

y = \frac{x}{3} - 7

What is the inverse of f(x)=(1-5x)/(3x+7) ?
The inverse of f(x)=(1-5x)/(3x+7) is (1-7x)/(3x+5)