Vocabulary
Operations & Domain
Operations + Domain- part 2
Function Operations-w/o domain
Inverse Functions -P1
Inverse Functions - P2
100
What is the domain of a function?
The set of all the x’s
100
Given
f(x)= 3x-7
g(x) = -8x-9
Find f(x)+g(x) and state the domain.
(f+g)(x)= -5x-16; D=R
100
Given
f(x)= x2-x-6
g(x) = x+2
Find f(x) - g(x) and state the domain.
(f - g)(x)=x2- 2x - 8
D:R
100
The value of (g/h)(x) given the following functions:
g(x) = -x - 1
h(x) = 2x -3
What is (-x-1)/(2x-3)?
100
The notation of the inverse of f(x) is:
a) f(x)/f(x)-1
b) f(x)-1
c) -f(x)
b)
100
State if the functions are inverses:
g(x) = -4x
f(x)=-6x - 1
NO
200
What is the range of a function?
The set of all the y’s
200
Given
f(x)= 3x-7
g(x) = -8x-9
Find f(x) - g(x) and state the domain.
(f-g)(x)=11x+2; D=R
200
Given
f(x)= x2-x-6
g(x) = x+2
Find f(x) * g(x) and state the domain.
(fg)(x)= x3 + x2 - 8x -12
D: R
200
The value of g(n)+f(n) given the following functions:
f(n) = n2+1-n
g(n) = 2n+2
What is n2 + n + 3?
200
Fill in the blank:
In Inverse Functions; the domain of f(x) is the ______ of _____
range, f(x)-1
200
State if the functions are inverses:
g(n) = 4/(-n+2)
f(n)= (-4/n)+2
Yes
300
The name of this notation for domain:
{x:x>0}
Set Builder Notation
300
Given
f(x)= 3x-7
g(x) = -8x-9
Find f(x)*g(x) and state the domain.
(f*g)(x)= -24x2 +29x+63; D=R
300
Given
f(x)= x2-x-6
g(x) = x+2
Find f(x) / g(x) and state the domain.
(f/g)(x) = x - 3
D: {x|x != -2
300
The value of (g-f)(n) given the following functions:
f(n) = 2n-1
g(n) = 3n-1
What is n?
300
The notation f(x) is read as: "_________"
"The inverse of f"
300
Find the inverse of the function
f(x)= 3/(-x-2)
f(x)-1 = (-3/x)-2
400
How do you read this?
{x:x<5}
“The set of all x such that x is less than five”
400
Given
f(x)= 3x-7
g(x) = -8x-9
Find f(x)/g(x) and state the domain.
(f/g)(x)=(3x-7)/(-8x-9) ; D:{x:x -not equal to -9/8}
400
Given
Find f(x) * g(x) and state the domain.
(fg)(x)= 33x+2
D: R
400
The value of (hg)(a) given the following functions:
g(a) = a2 + a
h(a) = 2a + 5
What is 2a3 + 7a2 + 5a?
400
To find the inverse of a function algebraically, you begin by __________
Swapping the x for y and the y for the x
400
Find the inverse of the function
f(x) = root(5)(x+1)+2
f(x)-1 =
(x-2)^5 -1
500
What is the meaning of this set notation:
{x:x≠3/4}
Any value of x except 3/4
500
Given
f(x)= 2^x
g(x) =2^(x-1)
Find f(x) / g(x) and state the domain.
(f/g)(x)=2
D:R
500
Given
Find f(x)/g(x) and state the domain
(f/g)(x) = 3-x+2
D: R
500
The value of h(x) - g(x) given the following functions:
g(x) = x2 + 1 + 2x
h(x) = -x - 1
What is -x2 - 3x - 2?
500
Find the inverse of the function
f(x) = -4x+1
f(x)-1 =
-(x+1)/4
500
Find the inverse of the function
g(x)= 2x^3 -3
g(x)-1 =
root(3)((x+3)/2