Question

question 18 of 40
which function is the inverse of $y = 2x + \frac{5}{2}$?

a. $y = -2x - \frac{5}{2}$
b. $y = \frac{1}{2}x - \frac{5}{4}$
c. $y = \frac{1}{2}x + \frac{2}{5}$
d. $y = x - \frac{5}{4}$

Explanation:

Step1: Swap x and y

$x = 2y + \frac{5}{2}$

Step2: Solve for y

Subtract $\frac{5}{2}$: $x - \frac{5}{2} = 2y$
Divide by 2: $y = \frac{1}{2}x - \frac{5}{4}$

Answer:

B. $y = \frac{1}{2}x - \frac{5}{4}$