What is the inverse of f(x)=((7-14x))/((2x-3)) ?

The inverse of f(x)=((7-14x))/((2x-3)) is (7+3x)/(2(7+x))

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inverse of f(x)=((7-14x))/((2x-3))

inverse

f (x) = \frac{( 7 - 14 x )}{( 2 x - 3 )}

\frac{7 + 3 x}{2 ( 7 + x )}

Solution steps

y = \frac{7 - 14 x}{2 x - 3}

Replace

x

with

y

x = \frac{7 - 14 y}{2 y - 3}

Solve for

y, x = \frac{7 - 14 y}{2 y - 3}

\frac{7 + 3 x}{2 ( 7 + x )}

f (x) = \frac{7 x + 3}{3 x + 4}

f (x) = 0.5 x^{2} - 3 x + 4.5

f (x) = \frac{14}{4} x - \frac{15}{2}

x - 10

- 1.5 0.1 (x + 6.222) + 0.3

What is the inverse of f(x)=((7-14x))/((2x-3)) ?
The inverse of f(x)=((7-14x))/((2x-3)) is (7+3x)/(2(7+x))