Ask Question
4 July, 02:25

For the functions f (x) = 2x + 2 and g (x) = 7x + 1, which composition produces the greatest output?

Both compositions produce the same output.

Neither composition produces an output.

f (g (x)) produces the greatest output.

g (f (x)) produces the greatest output.

+4
Answers (1)
  1. 4 July, 02:51
    0
    First we have to find (f o g) (x):

    (f o g) (x) = [2 (7x + 1) + 2] = (14x + 2 + 2) = 14x + 4

    Then we have to find (g o f) (x):

    (g o f) (x) = [7 (2x + 2) + 1] = (14x + 14 + 1) = 14x + 15

    Comparing both the results:

    (g o f) (x) > (f o g) (x)

    According to above explanation,

    D. g (f (x)) produces the greatest output, is the correct answer.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “For the functions f (x) = 2x + 2 and g (x) = 7x + 1, which composition produces the greatest output? Both compositions produce the same ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers