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

A) h (x) = x+3

B) h (x) = x=8

C) h (x) = x-3

D) h (x) = x + 3

Step-by-step explanation:

hello:

note : g is the inverse of g : f0g = g0f = x

answer : C the inverse is : g (x) = x-3 because : (f0g) (x) = f (g (x)) = f (x-3) = (x-3) + 3 = x

and (g0f) (x) = g (f (x)) = g (x+3) = (x+3) - 3 = x

C) h (x) = x-3

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".

f (x) is the y value.

y = x + 3

x = y + 3 Switch x and y

x - 3 = y Subtract 3 from both sides to isolate

y = x - 3 Change back to function of h

h (x) = x - 3