Answer:
[tex] {f}^{ - 1} (x) = \frac{1}{2} x - \frac{3}{2} [/tex]
Step-by-step explanation:
To find the inverse of a function, first let y= f(x).
f(x)= 2x +3
Let y= f(x).
y= 2x +3
Next, make x the subject of formula.
y -3= 2x
Divide both sides by 2:
[tex]x = \frac{1}{2} y - \frac{3}{2} [/tex]
Replace x with f⁻¹(x) and y with x to obtain the inverse of the function.
[tex]\bf {f}^{ - 1} (x) = \frac{1}{2} x - \frac{3}{2} [/tex]
Thus, the 2nd option is correct.
