What is the inverse of f(x)=(4x-6)/(-x+4) ?

The inverse of f(x)=(4x-6)/(-x+4) is -(-6-4x)/(4+x)

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inverse of f(x)=(4x-6)/(-x+4)

inverse

f (x) = \frac{4 x - 6}{- x + 4}

- \frac{- 6 - 4 x}{4 + x}

Solution steps

y = \frac{4 x - 6}{- x + 4}

Replace

x

with

y

x = \frac{4 y - 6}{- y + 4}

Solve for

y, x = \frac{4 y - 6}{- y + 4}

- \frac{- 6 - 4 x}{4 + x}

f (x) = (2 x - 7)^{2} - 9

800 x - 2 x^{2}

f (x) = \frac{3 x}{( 7 x ^{2} + 16 )}

y = (e)^{x}

1 (0.5)^{x}

What is the inverse of f(x)=(4x-6)/(-x+4) ?
The inverse of f(x)=(4x-6)/(-x+4) is -(-6-4x)/(4+x)