What is the inverse of f(x)=(3x-10)/(7+2x) ?

The inverse of f(x)=(3x-10)/(7+2x) is (-10-7x)/(2x-3)

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inverse of f(x)=(3x-10)/(7+2x)

inverse

f (x) = \frac{3 x - 10}{7 + 2 x}

\frac{- 10 - 7 x}{2 x - 3}

Solution steps

y = \frac{3 x - 10}{7 + 2 x}

Replace

x

with

y

x = \frac{3 y - 10}{7 + 2 y}

Solve for

y, x = \frac{3 y - 10}{7 + 2 y}

\frac{- 10 - 7 x}{2 x - 3}

2 tan (\frac{α}{2})

y = \frac{3}{2} x + 4, (- 9, 3)

3 x^{2} - 2 y^{2} = 3

f (x) = (x - 2)^{2} + 3

What is the inverse of f(x)=(3x-10)/(7+2x) ?
The inverse of f(x)=(3x-10)/(7+2x) is (-10-7x)/(2x-3)