Respuesta :

altavistard

Answer:

 -1

f     (x) = x/2 - 3/2

Step-by-step explanation:

I choose to address this question by actually finding the inverse of f(x) = 2x + 3.

1) replace f(x) with y:  y = 2x + 3

2) interchange x and y:  x = 2y + 3

3) solve this result for y:  2y = x - 3 , or  y = (x - 3)/2.  This is the same as the second answer choice.  Label this result as

 -1

f     (x) = x/2 - 3/2
f(x)=
[tex]f(x) = 2x + 3 [/tex]
[tex]let y = 2x + 3 [/tex]
make y subject of the formula
[tex]x = \frac{y - 3}{2} [/tex]
replace y with x above
[tex]f ^{ - 1 } = \frac{x - 3}{2} [/tex]

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