What is the inverse of f(x)=((5x+3))/((2x-7)) ?

The inverse of f(x)=((5x+3))/((2x-7)) is (3+7x)/(2x-5)

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inverse of f(x)=((5x+3))/((2x-7))

inverse

f (x) = \frac{( 5 x + 3 )}{( 2 x - 7 )}

\frac{3 + 7 x}{2 x - 5}

Solution steps

y = \frac{5 x + 3}{2 x - 7}

Replace

x

with

y

x = \frac{5 y + 3}{2 y - 7}

Solve for

y, x = \frac{5 y + 3}{2 y - 7}

\frac{3 + 7 x}{2 x - 5}

s^{7} 5 + 35

\frac{3 s}{( s - 1 ) ( s + 3 )}

f (x) = x + [x]

f (x) = \frac{1}{5} (5 x - 25) + 5

f (x) = 4 x + 5 = 17

What is the inverse of f(x)=((5x+3))/((2x-7)) ?
The inverse of f(x)=((5x+3))/((2x-7)) is (3+7x)/(2x-5)