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Common Core Standard HSF-BF.A.1b Questions

Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

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Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
Find (f+g)(x).

f(x)=x-1
g(x)=5x-2
  1. -2x+5
  2. 4x+1
  3. 6x+3
  4. 6x-3
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
For f(x)=2x2-9x-5 and g(x)=7x-2, find (gf)(x) and its domain.
  1. 12x2-79x+25;  x0
  2. 2x2-97x+52;  
  3. 7x-22x2-9x-5;  x-12,5
  4. 2x2-5x-97x-2;  x27
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x) = 4x - 3 and g(x) = x + 9, what is (f + g)(x)?
  1. 4x²-27
  2. 4x + 6
  3. 5x + 6
  4. 5x - 6
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=x2+2x+1 and g(x)=3x2+4x2, find f(x)+g(x).
  1. 2x2+6x1
  2. 2x2+6x+3
  3. 2x2+6x-2
  4. x2+6x1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=6x2x+4 and g(x)=3x2+2x5, find f(x)+g(x).
  1. 3x2+x1
  2. 3x2+x5
  3. 3x2+x3
  4. 3x2-x1
Grade 11 Function and Algebra Concepts CCSS: HSF-BF.A.1b
If f(x)=x25x+6 and g(x)=x−2, find (fg)(x) and its domain.
  1. x+3; all real numbers except x=-2
  2. x-3; all real numbers except x=2
  3. x24x+3; all real numbers except x=0
  4. x26x+9;all real numbers except x=2
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
Find (f-g)(x).

f(x)=3x
g(x)=-2x+6
  1. 6x-5
  2. x+6
  3. 5x-6
  4. -6x+18
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
If f(x)={60x<4-x+104x<737x10 and g(x)=1x-1, find (f+g)(x) and its domain.
  1. (f+g)(x)={6x - 5x - 10x<4, x1-x2 + 11x - 9x - 14x<73x - 2x - 17x10                                                                                                                                                                        
  2. (f+g)(x)={6x - 10x<4, x1-x + 11x - 14x<74x - 17x10
  3. (f+g)(x)=-x2+20x-18x-1;  0x10 and x1
  4. (f+g)(x)=-x2+20x-18x-1;  x1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Given f(x)=5x and g(x)=2x+4, find f/g(x) and its domain.
  1. 5x/2x+4; all real numbers except x=−2
  2. 10x/2x+4; all real numbers except x=2
  3. 5; all real numbers except x=2
  4. 5x+4/5x all real numbers
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=3x2+2xand (f+g)(x)=5x24x+7, what is g(x)?
  1. 2x26x
  2. 2x26x+7
  3. x26x+7
  4. 2x24x+7
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Find f/g(x) for f(x)=x21 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 Function and Algebra Concepts CCSS: HSF-BF.A.1b
If f(x)=x2+3x4 and g(x)=2x−1, find (f+g)(x).
  1. x2+5x5
  2. x2+3x3
  3. x2+5x4
  4. x2+3x1
Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
For f(x)=3x2+9x and g(x)=x-6, find (f-g)(x).
  1. 3x2+8x+6
  2. 3x2+9x-6
  3. 3x2-8x+6
  4. 3x2-10x-6
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
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 Function and Algebra Concepts CCSS: HSF-BF.A.1b
Find (f⋅g)(x) if f(x)=3x−4 and g(x)=x+2.
  1. 3x28
  2. 3x24x+8
  3. 3x2+2x-8
  4. 3x2+2x-4
Grade 11 Function and Algebra Concepts CCSS: HSF-BF.A.1b
Given f(x)=4x−7 and g(x)=−2x+5, find (f⋅g)(x).
  1. 8x2+10x35
  2. 8x2+34x35
  3. 8x2+34x35
  4. 8x2+10x+35
Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
Find (fg)(x) if f(x)=x2-6x+2 and g(x)=5x-7.
  1. 5x3+23x2-32x-14
  2. 5x3-37x2+52x-14
  3. 5x3-6x-14
  4. -32x2+42x-14
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