Question

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

Answer 1

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.

Step-by-step explanation:

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.