1. Work with the functions: g(x) = ¹5-x and f(x)=√x. (a) Find the value of x where f(x) and g(x) intersect and f(x) > 0. (b) Graph f(x) and g(x) showing the intersection point. (4) f(x) = g(x)=√x = 15-x (f(x) >0 = X(₂0) 4
1. Work with the functions: g(x) = ¹5-x and f(x)=√x. (a) Find the value of x where f(x) and g(x) intersect and f(x) > 0. (b) Graph f(x) and g(x) showing the intersection point. (4) f(x) = g(x)=√x = 15-x (f(x) >0 = X(₂0) 4
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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can you please explain this again in clear terms?
Transcribed Image Text:1. Work with the functions: g(x) = ¹5 - x and f(x)=√x.
(a) Find the value of x where f(x) and g(x) intersect and f(x) > 0.
(b) Graph f(x) and g(x) showing the intersection point.
2
(a) f(x) = g(x)
(b)
st
A/55
=√x = 15-x (f(x) >0 = X50)
2x
4
MIN
Set z = √x
2
3= 15-3² ⇒ 3² +3-1=0
There are 2 roots :
So
13=3=√x
2
H = 9
----101x
( 23, -2) we take ther
Positive root
because f(x) >0
√x
14
15-x
4
x
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