What is the inverse of f(x)=((10-3x))/(1+2x) ?

The inverse of f(x)=((10-3x))/(1+2x) is (10-x)/(2x+3)

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inverse of f(x)=((10-3x))/(1+2x)

inverse

f (x) = \frac{( 10 - 3 x )}{1 + 2 x}

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

Solution steps

y = \frac{10 - 3 x}{1 + 2 x}

Replace

x

with

y

x = \frac{10 - 3 y}{1 + 2 y}

Solve for

y, x = \frac{10 - 3 y}{1 + 2 y}

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

f (x) = \frac{4}{3} x^{3} + 1

f (x) = e^{a r c s i n (5 x + 7)}

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

\frac{2}{x - 7}

What is the inverse of f(x)=((10-3x))/(1+2x) ?
The inverse of f(x)=((10-3x))/(1+2x) is (10-x)/(2x+3)