Adding Functions
f(x)= 2x+7
g(x)= x-1
Find (g+f)= g(x)+f(x)
What is (g+f)= g(x)+f(x)=3x+6
f(x)= 9x2-1
g(x)= x-1
Find (g-f)= g(x)-f(x)
What is (g-f)= g(x)-f(x)=-9x2+x
f(x)= x+5
g(x)= 4x-10
Find (fg)= f(x)g(x)
What is (fg)= f(x)g(x)=4x2+10x-50
f(x)= x2+3x-10
g(x)= x-2
Find (f/g)= f(x)/g(x)
What is (f/g)= f(x)/g(x)=x+5
f(x)= 3x2
g(x)= x+4
Find (f o g)=f(g(x))
What is (f o g)=f(g(x))=3x2+24x+48
f(x)= 2x3+7x
g(x)= -x2-1
Find (f+g)= f(x)+g(x)
What is (f+g)= f(x)+g(x)=2x3-x2+7x-1
f(x)= 6x2-x-2
g(x)= 3x2-x-1
Find (f-g)= f(x)-g(x)
What is (f-g)= f(x)-g(x)=3x2-1
f(x)= x2+5x
g(x)= x-1
Find (fg)= f(x)g(x)
What is (fg)= f(x)g(x)=x3+4x2-5x
f(x)= 2x+5
g(x)= 6x2+7x-20
Find (g/f)= g(x)/f(x)
What is (g/f)= g(x)/f(x)= 3x-4
f(x)= x2-4x+1
g(x)= 2x+2
Find (f o g)=f(g(x))
What is 4x2-3
f(x)= -2x+7
g(x)= -4x2-1
t(x)=5x
x=1
Find (f+g+t)= f(1)+g(1)+t(1)
What is (f+g+t)= f(1)+g(1)+t(1)= 5
f(x)= 5x+6
g(x)= 2x3-11
x=3
Find (f-g)= f(3)-g(3)
What is (f-g)= f(3)-g(3)=-22
f(x)= 3x2-2x-6
g(x)= x-4
t(x)=x2+1
x=2
Find (fgt)= f(2)g(2)t(2)
What is (fgt)= f(2)g(2)t(2)=-20
f(x)= 4x2-5x-21
g(x)= x-3
Find (f/g)= f(x)/g(x)
What is (f/g)= f(x)/g(x)=4x+7
f(x)= 2x2-3x+2
g(x)= -x3-6
x=4
Find (g o f)=g(f(8))
What is (g o f)=g(f(4))=-496
Joe and Mary are running a marathon. They are at different spots within the marathon but running at the same time. The distance Joe covered in miles for every minute ran can be given by j(t)=(1/10)t while Mary's can be given by m(t)=(1/200)t2. What is the total distance Joe and Mary ran in a span of 40 minutes?
What is 13 Miles
The average time mom takes to cook dinner for a certain amount of dinner guests(x) can be represented by m(x)=3x+15. The average time it takes dad can be represented by d(x)=4x+5. If there are 7 dinner guests, how much longer does it take mom to cook than dad.
What is 3 minutes
A UPS driver is trying to figure out the area of a box. She knows the width is represented by w(x)=x+2, the length is represented by l(x)=x+4 and the height is represented by h(x)=2x-1. What is the area of the box?
What is 2x3+11x2+10x-8
The area of a rectangle is represented by f(x)g(x)=2x2-5x+7. If we know one side length is represented by f(x)=2x+7, what is the other side length represented by(g(x))?
What is g(x)=x-1
A YouTuber wants to determine how much money can be made depending on the length of the video for one subscriber to view. Advertisers pay $0.18 per view of the ad. Function r(x)=0.18x is used to calculate the amount advertisers pay for their ad to be viewed in a video. One ad can be assigned for every 8 minutes of a video. Function a(x)=(x/8)+2 is used to calculate the number of ads that can be placed in a video. Write the revenue a YouTuber can make as a function of the video length.
What is r(a(x))=0.225x+0.36