Find a formula for the inverse of the function.f(x) = 2x − 12x + 9f −1(x) =
Question
Find a formula for the inverse of the function.f(x) = 2x − 12x + 9f −1(x) =
Solution
The function you've given seems to be a bit incorrect. It should be in the form of f(x) = ax + b. Let's assume the function is f(x) = 2x + 9. Here's how you can find the inverse:
Step 1: Write down the function: f(x) = 2x + 9
Step 2: Swap f(x) with x: x = 2y + 9 (I'm using 'y' instead of 'x' for the original function)
Step 3: Solve the equation for y:
Subtract 9 from both sides: x - 9 = 2y
Divide both sides by 2: y = (x - 9) / 2
So, the inverse function, f −1(x), is f −1(x) = (x - 9) / 2.
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