Question

If f(x) = 2x+4, which of the following is the inverse of f(x)?

O A.r1(x) = 7(x+4)
2
OB. f¹(x) = 2(x+4
O C. f¹(x) = 2(x-4)
7
○ D. /¯¹(x) = 7(x-4)
)
2

Answer 1

The inverse of f(x) = 2x + 4 is f⁻(x) = (x - 4)/2.

Step-by-step explanation:

The inverse of a function can be found by swapping the x and y variables and solving for y. In this case, we have f(x) = 2x + 4. To find the inverse, we swap x and y to get x = 2y + 4. Now, we solve for y:

x = 2y + 4

Subtract 4 from both sides:

x - 4 = 2y

Divide both sides by 2:

(x - 4)/2 = y

So, the inverse of f(x) = 2x + 4 is f⁻(x) = (x - 4)/2.