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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

1 + 5 + 9 x

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

0.07 x^{2} + 245.5

f (x) = - 2 x^{2} + 8

9 x - 8

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