If f(x)= + 1 and g(x)=
,then (f ∘ g)(x)=
A) + 1.
C) + 1.
D) ( +
E) ( + + 1.

Question

If f(x)=  + 1 and g(x)= 
,then (f ∘ g)(x)=
A) + 1. 
C) + 1. 
D) ( + 
E) ( + + 1.

Quizplus · Accepted Answer

To find (f ∘ g)(x), we need to substitute g(x) into f(x) wherever there is an x. So we have:

(f ∘ g)(x) = f(g(x)) = 11ea83f6_62cc_489c_b5a5_e17e67313b50_TB6578_11_TB6578_11 + 1 substituted with 11ea83f6_62cc_489d_b5a5_335de2fda928_TB6578_11_TB6578_11.

Now, notice that only the last character of g(x) is different from that of f(x), which means that only the last character of (f ∘ g)(x) will be different from that of f(x).

The last character of f(x) is 0, so the last character of (f ∘ g)(x) will be 0 + 1 = 1. Therefore, the answer is 11ea83f6_62cc_48a0_b5a5_87956f00348c_TB6578_11_TB6578_11 + 1, which is choice C.

If F(x)= + 1 and G(x)=