Absolute Value
Piecewise Functions
Inverse Functions
Function Operations
Compositions
100
Find the positive case of the following: -|x-5|-2
-x+3
100
Evaluate the following piecewise function at the indicated values. f(x)= 8x+3, if x>2 & 1/2x-1, if x≤2 f(-3)
-2.5
100
Find the inverse: f(x)= 3x+7
y= x-7/3
100
Using the following functions perform the operation f(x)=3x+5 and g(x)=2x-3 : f(x)+g(x)
5x+2
100
Let f(x)=x+5 and g(x)=2x²-1 : f(f(x))
x+10
200
Find the negative case of the following: -|x-5|-2
x-7
200
Evaluate the following piecewise function at the indicated values. f(x)= 8x+3, if x>2 & 1/2x-1, if x≤2 f(5)
43
200
Find the inverse: f(x)= 2x-5
y= x+5/2
200
Using the following functions perform the operation f(x)=3x+5 and g(x)=2x-3 : f(x)-g(x)
x+8
200
Let f(x)=x+5 and g(x)=2x²-1 : g(f(x))
2x²+20x+49
300
Write the absolute value function as a piecewise function: |x+3|+2
f(x)= x+5 if x≥-3 -x-1 if x<-3
300
Evaluate the following piecewise function at the indicated values. f(x)= 8x+3, if x>2 & 1/2x-1, if x≤2 f(2)
0
300
Find the inverse: f(x)= √ x-2
y= (x+2)²
300
Using the following functions perform the operation f(x)=3x+5 and g(x)=2x-3 : f(x)/g(x)
3x+5/ 2x-3
300
Let f(x)=x+5 and g(x)=2x²-1 : f(g(x))
2x²+4
400
Write the absolute value function as a piecewise function: |9x+2|
f(x)= 9x+2 if x≥-2/9 -9x-2 if x<-2/9
400
Evaluate the following piecewise function at the indicated values. f(x)= -x-7, if x≤2 & 3/2x+3, if x>2 f(5)
10.5
400
Find the inverse: f(x)= -3x+5
y= x-5/-3
400
Using the following functions perform the operation f(x)=3x+5 and g(x)=2x-3 : f(x)*g(x)
6x²+x-15
400
Let f(x)=6x and g(x)=3x+5 : f(g(x))
18x+30
500
Write the absolute value function as a piecewise function: |2+x|
f(x)= 2+x if x≥-2 -2-x if x<-2
500
Evaluate the following piecewise function at the indicated values. f(x)= -x-7, if x≤2 & 3/2x+3, if x>2 f(-1)
-6
500
Find the inverse: f(x)= x³+10
y= ³√x-10
500
Using the following functions perform the operation f(x)=3x and g(x)=x-5 : f(x) / g(x)
3x/x-5
500
Let f(x)=6x and g(x)=3x+5 : g(f(x))
18x+5
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