Problem 1 :
Find f(-3) + g(-3).
Solution :
f(-3) + g(-3) = 4 + 0
= 4
Problem 2 :
Find f(0) + g(0).
Solution :
f(0) + g(0) = 2 + 3
= 5
Problem 3 :
Find f(-6) + g(-6).
Solution :
By observing the graph, f(-6) is 4, for g(-6) we dont see the part of the graph. So, for g(-6) it is undefined.
Problem 4 :
Find f(5) + g(5).
Solution :
f(5) + g(5) = 0 + 6
= 6
Problem 5 :
Find f(7) + g(7).
Solution :
Observing the graph, f(7) = undefined
g(7) = 4
f(7) + g(7) = undefined + 4
= undefined
Problem 6 :
Sketch the graph of f + g. (Hint : For any x value, add the y values of f and g.)
Solution :
By connecting the following points, we will get the graph of the composition function.
(-3, 4)(-2, 5)(-1, 5)(0, 5)(1, 5)(2, 5)(3, 5)(4, 4)(5, 6)(6, 7)
Problem 7 :
What is the domain of f + g ? Explain how you obtained your answer.
Solution :
Domain : The set of all x - coordinates.
We can see both graphs f(x) and g(x) in between the interval
[-3, 6]
So, domain is [-3, 6].
Use the graph to answer for the questions given below.
Problem 8 :
Find f(-2) - g(-2).
Solution :
f(-2) - g(-2) = 4 - 1
= 3
Problem 9 :
Find f(0) - g(0).
Solution :
f(0) - g(0) = 2 - 3
= -1
Problem 10 :
Find f(-4) - g(-4).
Solution :
We see the graph f(-4) is 4, but g(-4) is undefined. So,
f(-4) - g(-4) = undefined.
Problem 11 :
f(2) - g(2)
Solution :
f(2) - g(2) = 0 - 5
= -5
Problem 12 :
f(4) - g(4)
Solution :
f(4) - g(4) = -2 - 6
= -8
Problem 13 :
Sketch the graph of f - g. (Hint : For any x value, subtract the y values of f and g.)
Solution :
Problem 14 :
What is the domain of f - g ? Explain how you obtained your answer.
Solution :
By observing the graph above, we get domain as
[-3, 8]
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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