l6ul3usangle
Answered

For the functions f(x) = 2x + 3 and g(x) = 6x + 2, which composition produces the greatest output?

ANeither composition produces an output.
BBoth compositions produce the same output.
Cf(g(x)) produces the greatest output.
Dg(f(x)) produces the greatest output.

Verified Answer :

zeshan

f(g(x)) =
2 (6x + 2) + 3 = 12x + 7

for x =
1;

f(g(x)) =
f(g(1)) = 12 (1) + 7 = 19

g(f(x)) =
6 (2x + 3 ) + 2 = 12x + 20

g(f(x)) =
g(f(1)) = 12 (1) + 20 = 32

Thus
option “D” is correct. 

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