What is the inverse of f(x)=(3x+4)/(-5x-7) ?

The inverse of f(x)=(3x+4)/(-5x-7) is -(4+7x)/(3+5x)

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inverse of f(x)=(3x+4)/(-5x-7)

inverse

f (x) = \frac{3 x + 4}{- 5 x - 7}

- \frac{4 + 7 x}{3 + 5 x}

Solution steps

y = \frac{3 x + 4}{- 5 x - 7}

Replace

x

with

y

x = \frac{3 y + 4}{- 5 y - 7}

Solve for

y, x = \frac{3 y + 4}{- 5 y - 7}

- \frac{4 + 7 x}{3 + 5 x}

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

(x + 3)^{2} - 1

f (x) = - 5 x^{3} + 15 x + 7

y = \frac{1}{3} x + 1

\frac{2 x ^{2} + 2 x}{- 3 x ^{2} - 18 x - 15}

What is the inverse of f(x)=(3x+4)/(-5x-7) ?
The inverse of f(x)=(3x+4)/(-5x-7) is -(4+7x)/(3+5x)