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}

f (x) = x + 4 - x

12 - x

\frac{36 x ^{2} + 81 x}{( 9 x - 4 ) ^{2}}

f (x) = \frac{3}{y + 1} - 4

\frac{e ^{x} - e ^{- x}}{2}

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)