Function Operations Quiz Solution

Q.1.

A. (f+g)(x) ≥ 3 for all values of x

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If f(x) = 4 - x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?
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If r(x)=3x-1 and s(x)=2x+1, which expression is equivalent to (r/s)(6)?
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If f(x)=|x|+9 and g(x)=-6, which describes the value of (f+g)(x)?
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If f(x)=x²-25 and g(x)=x-5, what is the domain of (f/g)(x)?

Q.2.

D. 5(4)-6+5(4)-6

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If r(x)=3x-1 and s(x)=2x+1, which expression is equivalent to (r/s)(6)?
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If k(x)=5x-6, which expression is equivalent to (k+k)(4)?
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If f(x)=x²-25 and g(x)=x-5, what is the domain of (f/g)(x)?
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If f(x) = 4 - x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?

Q.3.

B. all real values of x except x=5

Q.4.

B. -168

Q.5.

C. 16

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If f(x) = 3 - 2x and g(x) = 1/x + 5 , what is the value of (f/g)(8)
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The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g - f)(x)?
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If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0?
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The tables for f(x) and g(x) are shown below. What is the value of (f-g)(5)?

Q.6.

C. 12

Q.7.

C. -x³+x²-1

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If r(x)=3x-1 and s(x)=2x+1, which expression is equivalent to (r/s)(6)?
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If u(x)=x⁵-x⁴+x²and v(x) =-x², which expression is equivalent to (u/v)(x)?
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If f(x) = 3 - 2x and g(x) = 1/x + 5 , what is the value of (f/g)(8)
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If f(x) = 4 - x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?

Q.8.

A. (ab)(x)

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If f(x) and g(x) are a quadratic functions but (f+g)(x) produces the graph below, which statement must be true?
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If f(x) = 4 - x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?
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If u(x)=x⁵-x⁴+x²and v(x) =-x², which expression is equivalent to (u/v)(x)?
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If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?

Q.9.

A. -169

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If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0?
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If f(x) =8-10x and g(x)=5x+4, what is the value of (fg)(-2)?
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If f(x) = 4 - x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?
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If f(x) = 3 - 2x and g(x) = 1/x + 5 , what is the value of (f/g)(8)

Q.10.

D.

Q.11.

C.

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If f(x)=-x²+3x+5 and g(x)=x²+2x, which graph shows the graph of (f+g)(x)?
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The tables for f(x) and g(x) are shown below. What is the value of (f-g)(5)?
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If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0?
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The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g - f)(x)?

Q.12.

A. The leading coefficients of f(x) and g(x) are opposites.

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If f(x) and g(x) are a quadratic functions but (f+g)(x) produces the graph below, which statement must be true?
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If f(x) = 4 - x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?
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If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?
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If f(x)=x²-25 and g(x)=x-5, what is the domain of (f/g)(x)?

Q.13.

A. f(4)+g(4)

Q.14.

B. (-∞, 2)