Which of the following is the inverse of F(x) = -2x + 3?A.B.C.D.SUBMITarrow_backPREVIOUS
Question
Which of the following is the inverse of F(x) = -2x + 3?A.B.C.D.SUBMITarrow_backPREVIOUS
Solution
To find the inverse of the function F(x) = -2x + 3, you need to follow these steps:
- Replace F(x) with y, so the equation becomes y = -2x + 3.
- Swap x and y to get x = -2y + 3.
- Solve the equation for y to find the inverse function.
Let's solve for y:
x = -2y + 3 x - 3 = -2y y = -(x - 3) / 2
So, the inverse of the function F(x) = -2x + 3 is F^-1(x) = -(x - 3) / 2.
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