What is the inverse of the function f(x) = 2x + 3?
Correct Answer: f^(-1)(x) = (x - 3)/2
- Step 1: Start with the function f(x) = 2x + 3. We want to find its inverse.
- Step 2: Replace f(x) with y. So, we write y = 2x + 3.
- Step 3: To find the inverse, we need to solve for x in terms of y. Start by isolating the term with x.
- Step 4: Subtract 3 from both sides: y - 3 = 2x.
- Step 5: Now, divide both sides by 2 to solve for x: x = (y - 3) / 2.
- Step 6: The inverse function is found by switching x and y. So, we write the inverse as f^(-1)(x) = (x - 3) / 2.
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