Question

Question 2 of 10

If
f(x) = 4x-3, which of the following is the inverse of f(x)?
O A. f¹(x) = 4x+3
7
○ B. /-¹(x) = 7x-3
4
O c. f¯¹(x) = 4x-3
7

Answer 1

If I did my math right it should be D

Answer 2

To find the inverse of a function, we need to replace the function's formula with 'y', swap x and y, and then solve for y.

Therefore:

Step 1: Replace f(x) with y to get y = 4x - 3.

Step 2: Swap 'x' and 'y'. This will give us x = 4y - 3.

Now we need to solve this equation for y:

Step 3: Add 3 to both sides of the equation to isolate the term with 'y'. Doing this, we get x + 3 = 4y.

Step 4: To completely isolate 'y', we need to divide both sides of the equation by 4. Doing so gives us y = (x + 3) / 4.

Finally, we replace y with f⁻¹(x) because y is the inverse of f(x). Therefore, f⁻¹(x) = (x + 3) / 4.

However, looking at the given alternatives (A, B, and C), we can see that none of them is equal to (x + 3) / 4, which is our calculated inverse of the function f(x).

Therefore, the solution to the question is that the correct answer is not listed among the given alternatives.