hihhanblov hihhanblov
  • 02-07-2017
  • Mathematics
contestada

Given that f(x) = 4x − 3 and g(x) = quantity of 2x minus 1, divided by 3, solve for g(f(2)).

Respuesta :

farahsherif
farahsherif farahsherif
  • 02-07-2017
when x =2
then f(2)=4*2 - 3= 5
when x =f(2) =5 
then g(5)=(2*5 -1)/3 = 9/3=3
then g(f(2))=3
Answer Link
Nick911 Nick911
  • 02-07-2017
First of all, we know that this problem is Function Composition Notation in form of f(g(x)), so here is the full answer:
f(x)=4x-3
g(x)=(2x-1)/3
Then,
f(x)=4x-3
f(2)=4(2)-3
f(2)=8-3
f(2)=5
In conclusion,
g(x)=(2x-1)/3
g(5)=(2×5-1)/3
g(5)=(10-1)/3
g(5)=9/3
g(5)=3. As a result, g(f(2))=3. Hope it help!
Answer Link

Otras preguntas

what is the mass of one mole of caco3
The Bolshevik revolution led to A. WWI B. Sino-Russian war C. Red army battle against the Bolsheviks D. Civil war in Russia
if the low power objective and the eyepiece both have a magnifying power of 10x the total magnifying power of the microscope is
What Possible suggestions you can give with animal breeders
If it's cloudy, 60% likely it will rain. In general on any given day it's 50% probability it will be cloudy. The probability it will be cloudy and rainy tomor
Identify the coefficient of 7xy A. 1 B. 7 C. y D. x
raising the temperature of a gas will increase its pressure If which of the following happens the volume is increased but the number of particles is constant B
The imagery Phillis Wheatley uses in her poem "To His Excellency, George Washington" describes America as __________. A: A nation where no one lives anymore B:
who reads science fiction?
Factor 30y 2 z 12yz 2 - 18yz.