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

The inverse of f(x)=(x-4)/(3x+7) is (-4-7x)/(3x-1)

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

inverse

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

\frac{- 4 - 7 x}{3 x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 4 - 7 x}{3 x - 1}

f (x) = 2 x - 5

f (x) = 3 x^{2} - 3 x + 1

f (x) = \frac{x ^{3}}{x ^{2} + 5}

f (x) = - \frac{3}{2}

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

What is the inverse of f(x)=(x-4)/(3x+7) ?
The inverse of f(x)=(x-4)/(3x+7) is (-4-7x)/(3x-1)