Composite and inverse functions
Name
Date
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1.
f(x) = 6x + 2 and g(x) = 2x. Find f(g(0)).
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2.
f(x) = 5x − 4 and g(x) = 3x. Find f(g(-1)).
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3.
f(x) = 5x + 4 and g(x) = 4x. Find f(g(1)).
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4.
f(x) = 4x + 7 and g(x) = 3x. Find f(g(0)).
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5.
f(x) = 5x + 6 and g(x) = 3x. Find f(g(-2)).
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6.
f(x) = 6x + 1. Which is the inverse function f⁻¹(x)?a)(x − 1) / 6b)x / 6 + 1c)(x + 1) / 6d)6x − 1
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7.
f(x) = 5x + 8 and g(x) = 4x. Find f(g(0)).
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8.
f(x) = 6x + 3. Which is the inverse function f⁻¹(x)?a)(x − 3) / 6b)x / 6 + 3c)6x − 3d)(x + 3) / 6
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9.
f(x) = 5x + 8 and g(x) = 3x. Find f(g(-4)).
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10.
f(x) = 2x − 1 and g(x) = 4x. Find f(g(-1)).
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11.
f(x) = 4x − 1 and g(x) = 2x. Find f(g(6)).
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12.
f(x) = 4x − 3. Which is the inverse function f⁻¹(x)?a)x / 4 − 3b)4x + 3c)(x − 3) / 4d)(x + 3) / 4
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13.
f(x) = 6x − 2. Which is the inverse function f⁻¹(x)?a)x / 6 − 2b)6x + 2c)(x − 2) / 6d)(x + 2) / 6
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14.
f(x) = 6x + 0. Which is the inverse function f⁻¹(x)?a)x / 6 + 0b)6x − 0c)(x + 0) / 6d)(x − 0) / 6
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15.
f(x) = 2x + 0 and g(x) = 3x. Find f(g(1)).
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16.
f(x) = 5x + 0. Which is the inverse function f⁻¹(x)?a)(x + 0) / 5b)(x − 0) / 5c)x / 5 + 0d)5x − 0
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17.
f(x) = 6x + 5 and g(x) = 4x. Find f(g(-4)).
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18.
f(x) = 3x − 1 and g(x) = 2x. Find f(g(-1)).
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19.
f(x) = 5x − 8 and g(x) = 2x. Find f(g(1)).
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20.
f(x) = 5x − 1. Which is the inverse function f⁻¹(x)?a)(x + 1) / 5b)x / 5 − 1c)5x + 1d)(x − 1) / 5
Free maths worksheets and practice: rocketdigits.com/learn/composite-and-inverse-functions
Answers: Composite and inverse functions
- 2
- -19
- 24
- 7
- -24
- a) (x − 1) / 6
- 8
- a) (x − 3) / 6
- -52
- -9
- 47
- d) (x + 3) / 4
- d) (x + 2) / 6
- d) (x − 0) / 6
- 6
- b) (x − 0) / 5
- -91
- -7
- 2
- a) (x + 1) / 5
Free maths worksheets and practice: rocketdigits.com/learn/composite-and-inverse-functions