Function Addition and Subtraction
Function Multiplication and Division
Function Composition
Finding Inverse Functions
Determine Inverses
100
Given f(x)=2x+3 and g(x)=x-5 find (f+g)(x).
= 3x-2
100
Given f(x)=2 and g(x)=x+1, find (f*g)(x)
=2x+2
100
Given f(x)=2x and g(x)=x+3, find f(g(2))
=10
100
Given the table, find f-1(-7)
=3
100
Given a graphed function how do you determine if the inverse will be a function.
Horizontal Line Test
200
Given f(x)=4x2 and g(x)=2x, find f(x)-g(x).
=4x2-2x
200
Given f(x)=x2+2 and g(x)=x-1, find f(x)/g(x).
=(x2+2)/(x-1)
200
Given f(x)=2x3-2x+3 and g(x)=4x+3, find g(f(-3))
=-177
200
Given f(x)=3x+4, find the inverse function in slope intercept form
=1/3x-4/3
200
Given f(x)= x+5 and g(x)=x-5, determine if f and g are inverses.
Yes they are inverses
300
Given h(x)=3x+2 and k(x)=5-x, find (h+k)(2)
= 11
300
Given f(x)= 3x and g(x)=4, find (fg)(-1)
=-12
300
Given f(x)=x+1 and g(x)=2-3x, find f(g(x)) in standard form
=-3x+3
300
Given f(x)=1/2x-1/2, find the inverse in slope intercept form
=2x+1
300
Given f(x)=4x-1 and g(x)=(x+1)/4, determine if f and g are inverses.
Yes
400
Given f(x)=x2, g(x)=3x+1 and h(x)=2x2+3x, find (f+g+h)(1).
=10
400
Given f(x)= x+5 and g(x)=2x-3, find f(x)*g(x) in standard form
=2x2+7x-15
400
Given f(x)=x+2, h(x)=3x and g(x)=4x-3, find h(f(g(x))) in standard form
= 12x-3
400
Given f(x)=3(x+2)2, where x> -2, find the inverse and state the domain of the inverse.
=sqrt(x/3)-2, x>0
400
Given f(x) = 3x2-1 and g(x)=sqrt(x+1)/3, determine if they are inverses
No
500
Given f(x)=x3, g(x)=2x2-4 and h(x)=5-2x, find f(2)-(g+h)(2).
=3
500
Given f(x)=x2-1 and g(x)=x+1, find f(x)/[g(x)]2
=(x-1)/(x+1)
500
Given f(x)=2x2-x, find f(f(-x))
=8x4+8x3-x
500
Given f(x)=x2+2x+1, where x<-1, find the inverse function and state the domain. (Hint: Does it factor)
f-1(x)=-sqrt(x)-1 , x>0
500
Given f(x)=x3 and g(x)=x1/3, determine if the f and g are inverses
Yes they are