2.5-2.7 Functions & Their Graphs Study Set
x≥-4
What's the domain of f(x)=√(x-4)
x≥0
What's the domain of the inverse of f(x)=√(x-4)
y≥0
What's the range of f(x)=√(x-4)
x≥-4
What's the range of the inverse of f(x)=√(x-4)
5x - 1
f(x) = 2x + 5 and g(x) = 3x - 6 find (f + g)(x)
-x + 11
f(x) = 2x + 5 and g(x) = 3x - 6 find (f - g)(x)
(2x + 5)/(3x - 6) x ≠ 2
f(x) = 2x + 5 and g(x) = 3x - 6, find (f/g)(x)
6x² + 3x - 30
f(x) = 2x + 5 and g(x) = 3x - 6, find (fg)(x)
4x - 1
f(x) = 3x and g(x) = x - 1, find (f + g)(x)
2x + 1
f(x) = 3x and g(x) = x - 1, find (f - g)(x)
3x/(x - 1) x ≠ 1
f(x) = 3x and g(x) = x - 1, find (f/g)(x)
3x² - 3x
f(x) = 3x and g(x) = x - 1, find (fg)(x)
11x + 1
f(x) = 5x + 3 and g(x) = 6x - 2, find (f + g)(x)
-x + 5
f(x) = 5x + 3 and g(x) = 6x - 2, find (f - g)(x)
(5x + 3)/(6x - 2) x ≠ 1/3
f(x) = 5x + 3 and g(x) = 6x - 2, find (f/g)(x)
30x² + 8x - 6
f(x) = 5x + 3 and g(x) = 6x - 2, find (fg)(x)
x + 18
f(x) = x + 9 and g(x) = 2x, find f(f(x))
15
f(x) = x + 9 and g(x) = 2x, find f(g(3))
2x + 9
f(x) = x + 9 and g(x) = 2x, find f(g(x))
14
f(x) = x + 9 and g(x) = 2x, find g(f(-2))
2x + 18
f(x) = x + 9 and g(x) = 2x, find g(f(x))
30
f(x) = x² + 5 and g(x) = x - 7, find f(g(2))
(x-7)²+5
f(x) = x² + 5 and g(x) = x - 7, find f(g(x))
-2
f(x) = x² + 5 and g(x) = x - 7, find g(f(0))
x² - 2
f(x) = x² + 5 and g(x) = x - 7, find g(f(x))
x - 14
f(x) = x² + 5 and g(x) = x - 7, find g(g(x))
x⁴
f(x) = x² and g(x) = x + 3, find f(f(x))
4
f(x) = x² and g(x) = x + 3, find f(g(-1))
(x+3)²
f(x) = x² and g(x) = x + 3, find f(g(x))
19
f(x) = x² and g(x) = x + 3, find g(f(4))
x² + 3
f(x) = x² and g(x) = x + 3, find g(f(x))
No f(g(x))≠g(f(x))
Determine if f and g are inverses: f(x)=5/(x-2) and g(x)=(x-2)/5
Yes! f(g(x))=g(f(x))
Determine if f and g are inverses: f(x)=5/(x-2) and g(x)=5/x+2
All Real Numbers, x≠0,x≠-2
Find the domain of f(g(x)): f(x)=3/(x²-1), g(x)=x+1
All Real Numbers
Find the domain of f(g(x)): f(x)=³√(x-5), g(x)=x³+1
All Real Numbers, x≠±1
Find the domain of g(f(x)): f(x)=3/(x²-1), g(x)=x+1
y=x²+4
Find the inverse function f(x)=√(x-4)
No Inverse Function
Find the inverse of f(x)=-5/x²
y=1/x
Find the inverse of f(x)=1/x
y=(x-5)/3
Find the inverse of f(x)=3x+5
f(x)=x³, g(x)=1-x
Find two functions f and g such that f(g(x))=h(x), h(x)=(1-x)³
f(x)=4/x², g(x)=5x+2
Find two functions f and g such that f(g(x))=h(x), h(x)=4/(5x+2)²
f(x)=√x, g(x)=9-x
Find two functions f and g such that f(g(x))=h(x), h(x)=√(9-x)
f(x) = (x-2)²
Identify the function that could represent the given graph
f(x)=(-x)³
Identify the function that could represent the given graph
f(x)=2x²
Identify the function that could represent the given graph
f(x)=−√(x+3)
Identify the function that could represent the given graph
f(x) is reflected over the x axis, shifted right 4 and up 8
Identify the sequence of transformations from f to g: g(x)=-(x-4)³+8
f(x) is reflected over the x axis, shifted right 4 and down 8
Identify the sequence of transformations from f to g: g(x)=-(x-4)³-8
f(x) is reflected over the x axis, shifted left 4 and up 8 and vertically stretched.
Identify the sequence of transformations from f to g: g(x)=-3(x+4)³+8
f(x) is reflected over the x and y axis, shifted left 4 and up 8.
Identify the sequence of transformations from f to g: g(x)=-|-x-4|+8
f(x) is reflected over the x axis, shifted left 4 and up 8
Identify the sequence of transformations from f to g: g(x)=-|x + 4|+8
f(x) is shifted up 7 units
Identify the sequence of transformations from f to g: g(x)=x³+7
f(x) is shifted up 4 units, with a vertical shrink
Identify the sequence of transformations from f to g: g(x)=¾x² + 4
