How do I find the inverse of 2/3x + 8? a) The inverse is (3/2x) - 8 b) The inverse is (3/2x) + 8 c) The inverse is (2/3x) - 8 d) The inverse is (2/3x) + 8

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asked Jan 19, 2024 11.1k views

1 Answer

Dan Tumaykin · Answer 1 · 2024-01-25T07:15:56+0000

To find the inverse of 2/3x + 8, swap the x and y variables and solve for y. The inverse function is (3/2x) - 12.

To find the inverse of the expression 2/3x + 8, you need to swap the x and y variables and solve for y. This will give you the inverse function.

Step 1: Write the expression with y instead of x: y = 2/3x + 8.

Step 2: Swap the x and y variables: x = 2/3y + 8.

Step 3: Solve for y by isolating it on one side:

x - 8 = 2/3y

Multiply both sides by 3/2:

(3/2)(x - 8) = y.

Therefore, the inverse of 2/3x + 8 is (3/2x) - 12.