Question

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

Answer 1

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

Answer 2

C)h(x) = x-3

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