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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{3 x ^{2}}{4}

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

f (x) = \frac{x}{8 - 3 x}

y = 5^{x} + 3

f (x) = 5 x + 20

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