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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{6}{x ^{2} + 10 x + 25}

m = 6, (- 2, - 3)

\frac{x ^{2} - 10 x + 25}{x ^{2} + 10 x + 25}

f (x) = (x^{2} - 9)^{6}

cos (x) - 1

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