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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = x^{2} - 4 x + 3

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

f (x) = x \cdot sin (\frac{1}{x ^{2}})

y = - 7 x + 5

y = 3 x^{2} + 4 x - 5

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