Transcribed Text
Consider the graphs of the two functions, f (x) and 8 (x), given below.
y = f (x)
$
y
y = g (x)
y
4
3
4
2
4
X
x
1
4
4
2
2
3
4
4
4
4
5.
.5
2. Sketch the graph of the function that is the sum of f (x) and g (x) on the graph below.
y
5
4
3°
2
1
1
2
3
4
5
4
4
3
2
1
x
0
4
4
1
4
4
15.
Clearly answer each of the questions below in the space provided.
1. Given the functions, f (x) = x4  and g(x)=**2 = x+2 determine an expression for h (x) such
that
.
f(x) = X 4
g (x) = X+2
X2 
h(x) = (tos) g (x)
 3x +
10 + X  2 = h(x)
2 Xt
2
X 
f (x+2)
X 2 
= h(x)
(3x+10) (x  2)
x+2
(x2) (X+2)
x2
X t 2  4x + 8 = h xlx)
X 2
X+2
x2 
 3x + 10
X  2.
= h(x)
X + 2
X2 
Consider the two functions given below.
h(x)=2x1

k(x)=2x'+1
3. On the graph below, sketch the graph of the composite function, koh.
y
1
2
3
4
5
4
4
o
x
4
4
4
4

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