Question

PLEASE HELP!!!!!!

For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output?

Answer 1

got options ?

Answer 2

A. Both compositions produce the same output.
B. Neither composition produces an output.
C. f(g(x)) produces the greatest output.
D. g(f(x)) produces the greatest output.

Answer 3

@Here_to_Help15 @UsukiDoll

Answer 4

@Michele_Laino please help us :)

Answer 5

Maybe lets work f(g(x)) and g(f(x))

Answer 6

f(x) = 2x − 6 and g(x) = 5x + 1

f(g(x)) = ?

Answer 7

10x - 4?

Answer 8

g(f(x)) = ?

Answer 9

10x - 29

Answer 10

Excellent!

so we have

f(g(x)) = 10x-4
g(f(x)) = 10x-29

Answer 11

Notice that

g(f(x)) = 10x - 29 = 10x - 4 - 25 = f(g(x)) - 25

Answer 12

which is same as

f(g(x)) = g(f(x)) + 25

Answer 13

can we say f(g(x)) is always 25 greater than g(f(x)) ?

Answer 14

yes

Answer 15

so it would be C?

Answer 16

Yep!

Answer 17

thank you :)

Answer 18

yw