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Functions and Relations Questions - All Grades

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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
Find (f+g)(x) for f(x)=x−3 and g(x)=x2−9x+3​, and its domain.
  1. x+3; x≠−3
  2. x2+6x−9;R
  3. 2x - 6; x≠−3
  4. x−6; x≠3
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
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
For f(x)=6x+9 and g(x)=x+3, find f/g(x) and its domain.
  1. 6; all real numbers except x=−3x = -3x=−3
  2. 2; all real numbers except x=−2x = -2x=−2
  3. 6xx+3;all real numbers
  4. 6x+9x+3; all real numbers except x=−3
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
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
Find (f - g)(x) if f(x) = 3x - 7 and g(x) = x + 4.
  1. 2x - 11
  2. 4x-3
  3. 3x2-x-7
  4. 2x + 11
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x) = 2x² + 4x and g(x) = 3x + 5, what is (f + g)(x)?
  1. 5x² + 9x
  2. 2x² + 7x + 5
  3. 2x² + 4x + 3
  4. 3x² + 7x + 5
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
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=x2−x+3and g(x)=4x2+6x−4 find f(x)+g(x).
  1. 5x2+5x−2
  2. 5x2+5x−1
  3. 5x2+5x+3
  4. 5x2-5x+3
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Find f/g(x) for f(x)=x2−4 and g(x)=x−2 and state its domain.
  1. x+2; all real numbers except x=2
  2. x-2; all real numbers except x=-2
  3. X2-2; all real numbers except x=0
  4. x+4 all real numbers except x=2
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Given f(x)=2x2+4x+1 and (f+g)(x)=x2+6x+5, find g(x).
  1. −x2+2x+4
  2. −x2+2x+5
  3. −x2+2x
  4. −x2+6x-5
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Given f(x) = x² + 5x and g(x) = x - 2, what is (f * g)(x)?
  1. x³ + 3x² +10x
  2. x³ + 5x² - 2x
  3. x² + 5x - 2
  4. x³ + 3x² - 10x
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Given f(x)=x2+2xand g(x)=3x+6x+1, find (f+g)(x) and its domain.
  1. x2+5x+6;R
  2. x2+5x+6x+1;x≠−1
  3. x2+5xx+1;x≠−1
  4. x2+2x+1;x≠1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
For f(x)=x−5 and g(x)=3x2+15xx+5, find (f+g)(x) and its domain.
  1. 4x; x≠−5
  2. 3x+10; R
  3. 4x-5; x≠−5
  4. x+10; R
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=x2+2x+1 and g(x)=−3x2+4x−2, find f(x)+g(x).
  1. −2x2+6x−1
  2. −2x2+6x+3
  3. −2x2+6x-2
  4. x2+6x−1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Given f(x)=3x2−2x+7 and g(x)=−x2+5x−4find f(x)+g(x).
  1. 2x2+3x+2
  2. 2x2+3x+3
  3. 2x2+3x-1
  4. 2x2+3x+6
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=x−2 and g(x)=x2−4xx+2, find (f+g)(x) and its domain.
  1. 2x2-4x-4x+2; x≠−2
  2. 2x−4; x≠−2
  3. x2+4xx+2;x≠2
  4. 2x+4; x≠2
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Given f(x)=x2+2x and g(x)=x+3, find f/g(x) and its domain.
  1. x2+2xx+3 ; all real numbers except x=−3
  2. x2x+3 ; all real numbers except x=0
  3. x2+2x+3x+3 ; all real numbers except x=−3
  4. 3x+2x+3 ; all real numbers
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