Question

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

Answer 1

`{f}^( - 1) (x) = (1)/(2) x - (3)/(2)`

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 = (1)/(2) y - (3)/(2)`

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

`\bf {f}^( - 1) (x) = (1)/(2) x - (3)/(2)`

Thus, the 2nd option is correct.