Inverse functions
Name
Date
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1.
f(x) = 4x + 0 and g(x) = 4x. Find f(g(-2)).
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2.
f(x) = 6x − 3 and g(x) = 3x. Find f(g(-2)).
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3.
f(x) = 3x − 4 and g(x) = 3x. Find f(g(0)).
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4.
f(x) = 4x + 4 and g(x) = 2x. Find f(g(2)).
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5.
f(x) = 2x − 4. Which is the inverse function f⁻¹(x)?a)2x + 4b)x / 2 − 4c)(x + 4) / 2d)(x − 4) / 2
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6.
f(x) = 4x − 3. Which is the inverse function f⁻¹(x)?a)x / 4 − 3b)(x − 3) / 4c)(x + 3) / 4d)4x + 3
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7.
f(x) = 3x + 5 and g(x) = 2x. Find f(g(1)).
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8.
f(x) = 6x − 3. Which is the inverse function f⁻¹(x)?a)(x + 3) / 6b)6x + 3c)(x − 3) / 6d)x / 6 − 3
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9.
f(x) = 2x + 0 and g(x) = 3x. Find f(g(1)).
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10.
f(x) = 4x − 4. Which is the inverse function f⁻¹(x)?a)x / 4 − 4b)(x + 4) / 4c)4x + 4d)(x − 4) / 4
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11.
f(x) = 2x − 4 and g(x) = 2x. Find f(g(2)).
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12.
f(x) = 5x + 3. Which is the inverse function f⁻¹(x)?a)(x − 3) / 5b)(x + 3) / 5c)x / 5 + 3d)5x − 3
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13.
f(x) = 6x + 8. Which is the inverse function f⁻¹(x)?a)(x − 8) / 6b)6x − 8c)x / 6 + 8d)(x + 8) / 6
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14.
f(x) = 2x − 4 and g(x) = 4x. Find f(g(4)).
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15.
f(x) = 5x + 6. Which is the inverse function f⁻¹(x)?a)5x − 6b)(x − 6) / 5c)x / 5 + 6d)(x + 6) / 5
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16.
f(x) = 3x + 0 and g(x) = 3x. Find f(g(6)).
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17.
f(x) = 2x + 8 and g(x) = 3x. Find f(g(1)).
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18.
f(x) = 6x − 2. Which is the inverse function f⁻¹(x)?a)(x − 2) / 6b)x / 6 − 2c)6x + 2d)(x + 2) / 6
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19.
f(x) = 5x − 5 and g(x) = 2x. Find f(g(5)).
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20.
f(x) = 4x − 5 and g(x) = 2x. Find f(g(1)).
Free maths worksheets and practice: rocketdigits.com/learn/inverse-functions
Answers: Inverse functions
- -32
- -39
- -4
- 20
- c) (x + 4) / 2
- c) (x + 3) / 4
- 11
- a) (x + 3) / 6
- 6
- b) (x + 4) / 4
- 4
- a) (x − 3) / 5
- a) (x − 8) / 6
- 28
- b) (x − 6) / 5
- 54
- 14
- d) (x + 2) / 6
- 45
- 3
Free maths worksheets and practice: rocketdigits.com/learn/inverse-functions