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What is the inverse function of -5 over -9x+2

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Answer:

The inverse function of -5/(-9x + 2) is (-2x - 5) / (-9x).

Explanation:

To find the inverse function of -5/(-9x + 2), we need to swap the x and y variables and solve for y.

Step 1: Replace f(x) with y.

y = -5/(-9x + 2)

Step 2: Swap x and y.

x = -5/(-9y + 2)

Step 3: Solve for y.

Multiply both sides of the equation by (-9y + 2) to isolate y:

x(-9y + 2) = -5

Distribute x:

-9xy + 2x = -5

Move the terms with y to one side and the constant terms to the other side:

-9xy = -2x - 5

Divide both sides by -9x:

y = (-2x - 5) / (-9x)

Therefore, the inverse function of -5/(-9x + 2) is (-2x - 5) / (-9x).

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