Question

Please help me :( For the functions f(x) = 2x + 3 and g(x) = 6x + 2, which composition produces the greatest output? (5 points)


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

Answer 1

f(x)= 2x+3

g(x)=6x+2



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



g(f(x))= g(2x+3)=6(2x+3)+2= 12x+20



Regardless of the value of x, adding 20 to the 12x will produce a larger outcome than adding 7 to 12x.



g(f(x)) produces the greatest output