What is the inverse of f(x)=(10x+5)/(-9x-3) ?

The inverse of f(x)=(10x+5)/(-9x-3) is -(5+3x)/(10+9x)

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inverse of f(x)=(10x+5)/(-9x-3)

inverse

f (x) = \frac{10 x + 5}{- 9 x - 3}

- \frac{5 + 3 x}{10 + 9 x}

Solution steps

y = \frac{10 x + 5}{- 9 x - 3}

Replace

x

with

y

x = \frac{10 y + 5}{- 9 y - 3}

Solve for

y, x = \frac{10 y + 5}{- 9 y - 3}

- \frac{5 + 3 x}{10 + 9 x}

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

arctan (y)

f (x) = lo g_{10} (x + 1) - 1

f (x) = 3 \cdot 2^{x - 1} + 1

f (x) = lo g_{10} (x + 1) - 4

What is the inverse of f(x)=(10x+5)/(-9x-3) ?
The inverse of f(x)=(10x+5)/(-9x-3) is -(5+3x)/(10+9x)