What is the inverse of f(x)=(5x+3)/(5x-4) ?

The inverse of f(x)=(5x+3)/(5x-4) is (3+4x)/(5(-1+x))

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inverse of f(x)=(5x+3)/(5x-4)

inverse

f (x) = \frac{5 x + 3}{5 x - 4}

\frac{3 + 4 x}{5 ( - 1 + x )}

Solution steps

y = \frac{5 x + 3}{5 x - 4}

Replace

x

with

y

x = \frac{5 y + 3}{5 y - 4}

Solve for

y, x = \frac{5 y + 3}{5 y - 4}

\frac{3 + 4 x}{5 ( - 1 + x )}

f (x) = - \frac{12}{lo g _{2} ( a )}

f (x) = 2 - x + 1 - 2 x

3 (0.5 x - 2)^{2} - 2

f (x) = x^{2} - 2 x + 8

f (x) = 5 x^{2} - 3 x - 5

What is the inverse of f(x)=(5x+3)/(5x-4) ?
The inverse of f(x)=(5x+3)/(5x-4) is (3+4x)/(5(-1+x))