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Eleventh Grade (Grade 11) Function and Algebra Concepts 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. [math]f(x) = 4x^3 + 2[/math]
  1. [math]f^{-1}(x) = (x^3-2)/4[/math]
  2. [math]f^{-1}(x) = (root[3](x) - 2)/4[/math]
  3. [math]f^{-1}(x) = root[3]((x-2)/4) [/math]
  4. [math]f^{-1}(x) = root[3](x-2)/4[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add the complex numbers. [math](-3+7i) + (3 - i)[/math]
  1. [math]6i[/math]
  2. [math]6 + 8i[/math]
  3. [math]-6 + 6i[/math]
  4. [math]6 + 6i[/math]
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 [math]h(x)=(x−4)^3[/math]?
  1. [math]f(x)=x^3,g(x)=x−4[/math]
  2. [math]f(x)=x -4,g(x)=x^3[/math]
  3. [math]f(x)=x^3-4,g(x)=x[/math]
  4. Both A and C
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For [math]f(x)=sqrt x[/math] and [math]g(x)=x^2−9[/math], find (f∘g)(4).
  1. [math]sqrt 7[/math]
  2. 5
  3. 25
  4. Undefined
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For [math]f(x)=1/x​[/math] 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
Let [math]f(x)=1/x[/math] and [math]g(x)=x^2+4[/math]. Find (f∘g)(2).
  1. [math]1/8[/math]
  2. [math]1/6[/math]
  3. [math]1/4[/math]
  4. [math]1/2[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For [math]f(x)=1/x[/math] 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 Function and Algebra Concepts CCSS: HSF-BF.A.1b
Find (f+g)(x) if f(x)=x+3 and [math]g(x)=x^2−x+4[/math].
  1. [math]x^2-7[/math]
  2. [math]x^2+2x+7[/math]
  3. [math]x^2+7[/math]
  4. [math]x^2+x+5[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-BF.A.1b
Given [math]f(x)=x^3−2x+1[/math] and [math]g(x)=−x^3+3x−5[/math], find (f+g)(x).
  1. [math] 2x^3+x−4[/math]
  2. [math] -2x^3+x−4[/math]
  3. x + 4
  4. x - 4
Grade 11 Function and Algebra Concepts CCSS: HSF-BF.A.1b
If [math]f(x)=x^2+3x−4[/math] and g(x)=2x−1, find (f+g)(x).
  1. [math]x^2+5x−5[/math]
  2. [math]x^2+3x−3[/math]
  3. [math]x^2+5x−4[/math]
  4. [math]x^2+3x−1[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-BF.A.1b
If [math]f(x)=x^2−5x+6[/math] and g(x)=x−2, find [math](f/g)(x)[/math] and its domain.
  1. x+3; all real numbers except x=-2
  2. x-3; all real numbers except x=2
  3. [math]x^2−4x+3;[/math] all real numbers except x=0
  4. [math]x^2−6x+9;[/math]all real numbers except x=2
Grade 11 Function and Algebra Concepts CCSS: HSF-BF.A.1b
If [math](f−g)(x)=x^2−5x+6 [/math] and g(x)=2x−1, what is f(x)?
  1. [math] x^2+3x+5[/math]
  2. [math] x^2-7x+7[/math]
  3. [math] x^2-3x+5[/math]
  4. [math] x^2-7x+5[/math]
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. [math]−8x^2+10x−35[/math]
  2. [math]−8x^2+34x−35[/math]
  3. [math]8x^2+34x−35[/math]
  4. [math]−8x^2+10x+35[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-BF.A.1b
Given [math]f(x)=x^2+3x[/math] and g(x)=2x−1, find (f⋅g)(x).
  1. [math] 2x^3−x^2+3x[/math]
  2. [math] 2x^3+3x^2-x[/math]
  3. [math] 2x^3+5x^2-1[/math]
  4. [math] 2x^3+5x^2-3x[/math]
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