f(x)=3x+9
f(g(x))
Random
Multiple Functions
Recall
100
f(3)
g(4)
h(2)
f(3)=3(3)+9
18
100
f(x)= 7-x g(x)=x-7
find f(g(3))
g(3)=3-7=-4
f(-4)=7-(-4)=7+4=11
100
How do you say "f(x)"?
f of x
100
f(x)=-7x+1
g(x)= 4x-9
Find f(-3) and g(-3)
f(-3)=-7(-3)+1= 21+1 = 22
g(-3)= 4(-3)-9= -12-9= -21
100
Factor 24
2, 2, 2, 3
200
f(-1)
g(2)
h(7)
f(-1)=3(-1)+9
6
200
g(x)=2x+1
f(x)=2x-x
find f(g(4))
g(4)=2(4)+1=9
f(9)=2(9)-9=18-9=9
200
Explain how you would do f(g(x))
Input the x value into the g function and get an answer. Take that answer and input it into the f function.
200
g(x)=2x+5
h(x)=5-2x
f(x)=5x-2
Find h(2) and g(9)
h(2)=5(2)-2= 10-2= 8
g(9)= 2(9)+5 = 18+5= 23
200
Is this a function? Why or why not?
Yes. Passes the vertical line test
300
g(f(2))
h(5)
f(7)
f(7)=3(7)+9
30
300
g(x) = -3x + 1
f(x) = x2 + 7
j(x)=2x+8
Find f(g(2))
g(2)=-3(2)+1= -6+1= -5
f(-5)= (-5)2 +7= 25+7=32
300
Why should you always show your work?
So we can see what mistakes were made so we can help you.
300
f(x)=x2
h(x)=3x-5
g(x)=x-11
Find f(h(g(20)))
g(20)=20-11=9
h(9)=3(9)-5=27-5=22
f(22)= 222 =484
300
Reduce the fraction 12/32
3/8
400
h(-9)
f(10)
g(8)
f(10)=3(10)+9
39
400
f(x)=x2
g(x)=x2
find f(g(3))
g(3)= 32 = 9
f(9) = 92 = 81
400
What is f◦g(x)
Same as f(g(x))
400
g(x)=4x+8
f(x)=2x
Find f(x+3) and g(x-2)
f(x+3)= 2(x+3) = 2x+6
g(x-2)= 4(x-2)+8= 4x-8+8=4x
400
Convert 4x+2y=8 into slope-intercept form
y=mx+b
2y=-4x+8
y=-2x+4
500
f(f(1))
g(4)
h(4)
f(f(1))=3(1)+9=12
f(12)=3(12)+9=45
500
g(x)=x+1
f(x)=2x
f(g(x))
f(g(x))= 2(x+1) = 2x+2
500
Create a graph relating 2 things relevant to your life
Various answers
500
f(x)=6x+1
g(x)=2x-2
Find f(g(x))
f(g(x))= 6(2x-2)+1
12x-12+1
12x-11
500
What is the slope of this line?
Slope = rise/run
4/3