Answer:
The inverse is 1/2x -3/2
Step-by-step explanation:
Set the equation equal to y
y = 2x+3
Exchange x and y
x = 2y+3
Solve for y
Subtract 3 from each side
x-3 = 2y+3-3
x-3 = 2y
Divide each side by 2
(x-3)/2 = 2y/2
1/2x -3/2 =y
[tex]f^{-1}[/tex](x)=1/2x-3/2 (the second choice)
f(x) = 2x+3
y= 2x+3
interchange the x and y
x= 2y+3
solve for y
x-3=2y
x/2 -3/2 =y
[tex]\frac{1}{2} x-\frac{3}{2}[/tex]
hope this helps!
