Use the following to answer questions :
f(x) = and g(x) = 3x - 5
-Find h(x) = (f ◦ g)(x).
A) h(x) =
B) h(x) =
C) h(x) =
D) h(x) =

Question

Use the following to answer questions :
f(x) =  and g(x) = 3x - 5
-Find h(x) = (f ◦ g)(x).
A) h(x) = 
B) h(x) = 
C) h(x) = 
D) h(x) =

Quizplus · Accepted Answer

To get h(x), we need to first substitute g(x) into f(x), i.e., replace each occurrence of x in f(x) with the expression 3x - 5, and simplify:

f(g(x)) = 11ea7f29_4fc4_906c_9ecd_2bd90a82d34a_TB3307_11_TB3307_11_TB3307_11_TB3307_11 [replacing x with g(x)]
= 11ea7f29_4fc4_906c_9ecd_2bd90a82d34a_TB3307_11_TB3307_11_TB3307_11_TB3307_11 [since g(x) = 3x - 5]
= 11ea7f29_4fc4_b77e_9ecd_bfa715b3399a_TB3307_11 [simplifying the hexadecimal representation]

Therefore, the best choice is B.

Use the Following to Answer Questions