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Evaluating Functions
Operations
Compositions
Inverse
Transformations
100
w(t)=-2t+1, find w(-7)
15
100
h(x) = 3x + 3 g(x) = −4x + 1 Find (h + g)(10)
-6
100
f (n) = 2n g(n) = −n − 4 Find ( f (g(n))
-2n-8
100
find the inverse of: g(x) =1/x -2
1/(x+2)
100
Describe the transformation: f (x) = (x - 3)^2+1
Describe the transformation: f (x) = (x - 3)^2+1 shifted right 3 shifted up 1
200
g(x)=3x-3, find g(-6)
-21
200
f (x) = 4x − 3 g(x) = x^3+ 2x Find ( f − g)(4)
-59
200
g(n) = 2n + 3 h(n) = n − 1 Find g(h(n))
2n+1
200
Find the inverse of: g(x) = −4x + 1
(-1/4) x +(1/4)
200
Describe the transformation: f (x) = 3(x + 2)^2+ 1
Describe the transformation: f (x) = 3(x + 2)^2+ 1 vertical stretch by factor of 3 translated left 2 translated up 1
300
w(n)=4n+2, find w(3n)
12n+2
300
g(a) = 2a − 1 h(a) = 3a − 3 Find (g ⋅ h)(−4)
135
300
h(x) = x^2 − 2 g(x) = 4x + 1 Find h (g(x))
16x^2 + 8x − 1
300
Find the inverse of: g(x) = (7x+18)/2
(2x-18)/7
300
Describe the transformation: f (x) = 2(x + 4)^2+ 4
Describe the transformation: f (x) = 2(x + 4)^2+ 4 vertical stretch by 2 shifted left 4 shifted up 4
400
h(x)=4x-2, find h(x+2)
h(x)=4x-2, find h(x+2) 4x+6
400
f (x) = 3x − 1 g(x) = x^2− x Find (f/g)(x)
(3x-1)/(x^2-x)
400
g(x) = 2x − 2 f (x) = x^2 + 3x Find g (f (−2 + x))
2x^2 − 2x − 6
400
Find the inverse of f (x) = 4x
x/4
400
Describe the transformation: f (x) = -(x - 2)^2 + 4
Describe the transformation: f (x) = -(x - 2)^2 + 4 reflected over x-axis shifted right 2 shifted up 4
500
f(n)=n^2 -2n, find f(n^2)
n^4 -2n^2
500
h(t) = 2t + 1 g(t) = 2t + 2 Find (h − g)(t)
-1
500
g(a) = 2a + 2 h(a) = −2a − 5 Find g (h)(−4 + a))
-4a+8
500
Find the inverse of: h(x) = (√x) -3
(x+3)^2
500
Describe the transformation: f (x) = -(1/2)(x - 4)^2-3
Describe the transformation: f (x) = -(1/2)(x - 4)^2-3 reflected over x-axis vertical shrink by factor of 1/2 translated right 4 translated down 3