What is the inverse of f(x)=(5x+1)/(2x+3) ?

The inverse of f(x)=(5x+1)/(2x+3) is (1-3x)/(2x-5)

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inverse of f(x)=(5x+1)/(2x+3)

inverse

f (x) = \frac{5 x + 1}{2 x + 3}

\frac{1 - 3 x}{2 x - 5}

Solution steps

y = \frac{5 x + 1}{2 x + 3}

Replace

x

with

y

x = \frac{5 y + 1}{2 y + 3}

Solve for

y, x = \frac{5 y + 1}{2 y + 3}

\frac{1 - 3 x}{2 x - 5}

f (x) = \frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1}

y = 4 x^{2} + 34 x

f (x) = x (500 - 2 x)

f (x) = \frac{( x - 2 )}{( x + 7 )}

f (x) = 100 (4 - 4 y)

What is the inverse of f(x)=(5x+1)/(2x+3) ?
The inverse of f(x)=(5x+1)/(2x+3) is (1-3x)/(2x-5)