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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = csc^{2} (x)

\frac{8}{1 - x ^{3}}

f (x) = \frac{2 x + 7}{x - 1}

y = 1 + \frac{2}{x - 1}

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