- #1
Jaco Viljoen
- 160
- 9
Homework Statement
Suppose the functions g and h are defined as follows:
g(x)=-(1/2)x-3
h(x)=√(2-x)2+(1/2)x
Write down Dh, Dg+h and solve the equation (g+h)(x)=0
Homework Equations
g(x)=-(1/2)x-3
h(x)=√(2-x)2+(1/2)x
(g+h)(x)=0
The Attempt at a Solution
Dg is a line (-∞,∞)
h(x) is two lines that come to a point (2,1) but Dh (-∞,∞)?(I am uncertain if I am correct)
(g+h)(x)=0
(-(1/2)x-3)+(√{(2-x)2}+(1/2)x)=0
-3+√{(2-x)(2-x)}=0
-3+√{4-2x-2x+x2}=0
-3+√{x2-4x+4}=0
√{x2-4x+4}=3
x2-4x+4=32
x2-4x+4=9
x2-4x+4-9=0
x2-4x-5=0
(x+1)(x-5)=0
x=-1 or x=5
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