Question

Which function is the inverse of f(x) = 2x+3?

Answer 1

`f^(-1)`(x)=1/2x-3/2 (the second choice)

Explanation:

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

`(1)/(2) x-(3)/(2)`

hope this helps!

Answer 2

The inverse is 1/2x -3/2

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

The inverse is 1/2x -3/2