Question

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

Answer 1

Answer:

${f}^{ - 1} (x) = \frac{1}{2} x - \frac{3}{2}$

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:

$x = \frac{1}{2} y - \frac{3}{2}$

Replace x with f⁻¹(x) and y with x to obtain the inverse of the function.

$\bf {f}^{ - 1} (x) = \frac{1}{2} x - \frac{3}{2}$

Thus, the 2nd option is correct.