Operations of Functions
Composition of Functions
Restricted Domain
Decomposition of Functions
Surprise Category
100
What is the Name of and equation for each operation that we performed on a pair of functions f(x) and g(x) in section 1-7
What is the Sum (f+g)(x)=f(x)+g(x), Difference(f-g)(x)=f(x)-g(x), Product (f x g)(x)=f(x) x g(x), and Quotient (f/g)(x)=f(x)/g(x)
100
what is the formula for composing to functions f(x) and g(x)
What is (f◦g)(x) = f[g(x)]
100
what are the 2 types of restrictions for the domain of a function
What are the donominator of a function can not equal 0 and there can not be a negative number in a square root.
100
what is the formula for decomposing a function h(x)
What is h(x)=[f◦g](x)
100
why can the denominator of a function not equal zero
What is the function then will equal 0 and leave the function undefined
200
what is the sum of f(x)= x^2 - x - 6 and g(x) = x + 2
What is (f + g)(x) = x^2 - 4
200
compose the following functions f(x)= 1/x and g(x)= x^2+3 (f◦g)(x)=
What is (f◦g)(x)= 1/x^2+3
200
why can there not be a negative number under a square root
What is a real negative number square rooted becomes an imaginary number
200
find two functions f(x) and g(x) such that h(x)=[f◦g](x) h(x)= √x^3-4
what is f(x)=√x and g(x)=x^3-4
300
What is the difference of the functions f(x) = x^2+4x and h(x) = 3x-5
What is (f - g)(x) = x^2+x+5
300
compose the following functions f(x)= 1/x and g(x)= x^2-3 (f◦g)(x)=
What is (f◦g)(x)= x^2-8x+17
300
for a composite functions [f◦g](x) = 1/(x^2-4) what is the restricted domain?
What is (-∞,-2)U(-2,2)U(2,∞)
300
find two functions f(x) and g(x) such that h(x)=[f◦g](x) h(x)= 2x^2+20x+50
What is f(x)=2x^2 and g(x)= x+5
400
what is the product of the functions f(x) = x^2-3 and g(x) = 1/x
What is (f x g)(x) = x-3/x
400
compose the following functions g(x)= 4x+2 and f(x)= 3x^2+2-1 hint (g◦f)(x) =
What is (g◦f)(x) = 12x^2+8x-2
400
for the function f(x)= √x + 3 what is the restricted domain
What is [-3,∞)
400
find two functions f(x) and g(x) such that h(x)=[f◦g](x) h(x)= 1/(x+7)
What is f(x)=1/x and g(x) = x+7
500
what is the quotient of the functions f(x) = x^2-x-6 and g(x) = x + 2
What is (f/g)(x) = x-3
500
compose the following [f◦g](4) f(x) = 2x-3 and g(x) (x-2)/2
What is [f◦g](4)=-1
500
for the composite function h(x)= √(x-3)^2-2 what is the restricted domain
What is [-3,∞)
500
find two functions f(x) and g(x) such that h(x)=[f◦g](x) h(x)=x^2-2x+1
What is f(x) = x^2 and g(x) = (x-1)
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