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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{x}{x ^{2} - 15}, x = 4

f (x) = \frac{1}{x} + 2 ln (x + 3)

\frac{1}{x - 6}

p (x) = tan (x) + \frac{1}{x}

f (x) = \frac{x ^{2} - 1}{5}

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