Question

Graph the inverse of the function $f(x) = 2x - 4$

A) $y = (x + 4)/2$
B) $y = (x - 4)/2$
C) $y = (x - 2)/4$
D) $y = (x + 2)/4$

Answer 1

The inverse of the function f(x) = 2x - 4 is found by swapping x and y, solving for y, and then simplifying to get y = (x + 4) / 2, corresponding to option A.

Step-by-step explanation:

To find the graph of the inverse of the function f(x) = 2x - 4, you would follow these steps:

To find the graph of the inverse of the function f(x) = 2x - 4, you would follow these steps

Swap the x and y in the equation, so you will work with x = 2y - 4.

Solve for y to find the inverse function. Add 4 to both sides to get x + 4 = 2y.

Divide through by 2 to isolate y, resulting in y = (x + 4) / 2.

The inverse function is therefore y = (x + 4) / 2, which corresponds to option A.