autumncushard autumncushard
  • 12-08-2019
  • Mathematics
contestada

for the funcations f(x) =2x-6 and g(x) =5x+1 which composition produces the greatest output

Respuesta :

znk
znk znk
  • 12-08-2019

Answer:

C. f(g(x)) produces the greater output.  

Step-by-step explanation:

ƒ(x) = 2x - 6

g(x) = 5x + 1

f(g(x)} = 2(5x + 1) - 6 = 10x + 2 - 6 =10x - 4

g(f(x)) = 5(2x- 6) + 1 = 10x - 30 + 1 = 10x - 29

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

f(g(x)) is always 25 units greater than g(f(x)), no matter the value of x.

Thus f(g(x)) produces the greater output.

Answer Link

Otras preguntas

in rabbits, black fur is dominant over white fur.  Show the cross of a heterozygous black male with a homozygous white female.
You bought a car for $25,000. You have owned it for one year, and it is now worth $21,000. What is the percent decrease in your car's value?16%19%84%119%
do you know 3 prime numbers that equal 32
rewrite the expression without using grouping symbols. -6(8+12)
What is 689 divided by 53
What is 689 divided by 53
The distance from home plate to second base is about 127.3 ft.  1.  How would you find the distance between the bases.2.  Estimate the distance between the base
do you know 3 prime numbers that equal 32
rewrite the expression without using grouping symbols. -6(8+12)
Why did the Virginia Company give settlers the right to self-government?