2.5-2.7 Functions & Their Graphs Study Set

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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


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