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Eleventh Grade (Grade 11) Functions and Relations Questions

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. f(x)=4x3+2
  1. f-1(x)=x3-24
  2. f-1(x)=3√x-24
  3. f-1(x)=3√x-24
  4. f-1(x)=3√x-24
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
Given f(x)=2x+3 and g(x)=x−3(2), compute (f∘g)(9).
  1. 6
  2. 9
  3. 12
  4. 15
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
Which composition gives h(x)=(x−4)3?
  1. f(x)=x3,g(x)=x−4
  2. f(x)=x-4,g(x)=x3
  3. f(x)=x3-4,g(x)=x
  4. Both A and C
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=√x and g(x)=x2−9, find (f∘g)(4).
  1. √7
  2. 5
  3. 25
  4. Undefined
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=1x​ and g(x)=x+3, find (f∘g)(−2).
  1. - 1
  2. 1
  3. Undefined
  4. 0
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
If (f∘g)(x)=10x−2, which pair is valid?
  1. f(x)=2x−4,g(x)=5x+1
  2. f(x)=10x+10,g(x)=x−12
  3. Both A and B
  4. Neither A nor B
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=1x and g(x)=x−1, the domain of (f∘g)(x)) is:
  1. x>1
  2. x≥1
  3. x≠1
  4. x<1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
Let f(x)=1x and g(x)=x2+4. Find (f∘g)(2).
  1. 18
  2. 16
  3. 14
  4. 12
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=1x and g(x)=x−3, the domain of (f∘g)(x) is:
  1. All real numbers
  2. x≠0
  3. x≠3
  4. x>3
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Find f/g(x) for f(x)=x2−1 and g(x)=x−1, and its domain.
  1. x-1; all real numbers except x=-1
  2. x+1; all real numbers except x=1
  3. x+2 all real numbers except x=2
  4. x-3; all real numbers except x=-1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=6x2−x+4 and g(x)=−3x2+2x−5, find f(x)+g(x).
  1. 3x2+x−1
  2. 3x2+x−5
  3. 3x2+x−3
  4. 3x2-x−1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=5x2+7x−3 and g(x)=3x2−4x+8 find (f−g)(x).
  1. 2x2+11x+5
  2. 2x2+3x-5
  3. 2x2+11x+11
  4. 2x2+11x-11
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x) = 2x² - 3x and g(x) = x² + x, what is (f - g)(x)?
  1. x² - 4x -4
  2. x² - 3x² - x
  3. x² + 4x
  4. x² - 4x
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Given the functions f(x)=4x−1 and g(x)=x+3, find f/g(x)and its domain.
  1. 4x+1/x+3; all real numbers
  2. 4x−1; all real numbers except x=3
  3. 4x-1/x+3​; all real numbers except x=−3
  4. 4x−1; all real numbers
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
For f(x)=x2+4x+4 and g(x)=x+2, find f/g(x) and its domain.
  1. x+2; all real numbers except x=−2
  2. x−2; all real numbers except x=2
  3. x+4; all real numbers except x=0
  4. x+3; all real numbers
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=3x2+2xand (f+g)(x)=5x2−4x+7, what is g(x)?
  1. 2x2−6x
  2. 2x2−6x+7
  3. x2−6x+7
  4. 2x2−4x+7
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Find (f−g)(x) if f(x)=4x+3 and g(x)=2x−5.
  1. 6x−2
  2. 2x+8
  3. 2x-8
  4. 2x+2
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