Function Operations

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If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0?

C. 12

If k(x)=5x-6, which expression is equivalent to (k+k)(4)?

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

If f(x) and g(x) are a quadratic functions but (f+g)(x) produces the graph below, which statement must be true?

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

The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g – f)(x)?

C.

If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?

A. (ab)(x)

Which expression is equivalent to (f+g)(4)?

A. f(4)+g(4)

If u(x)=x⁵-x⁴+x²and v(x) =-x², which expression is equivalent to (u/v)(x)?

C. -x³+x²-1

The tables for f(x) and g(x) are shown below. What is the value of (f-g)(5)?

C. 16

Which expression is equivalent to (st)(6)?

C. s(6)×t(6)

If f(x)=|x|+9 and g(x)=-6, which describes the value of (f+g)(x)?

A. (f+g)(x) ≥ 3 for all values of x

If f(x) =8-10x and g(x)=5x+4, what is the value of (fg)(-2)?

B. -168

If r(x)=3x-1 and s(x)=2x+1, which expression is equivalent to (r/s)(6)?

A. 3(6)-1/2(6)+1

If f(x)=-x²+3x+5 and g(x)=x²+2x, which graph shows the graph of (f+g)(x)?

D.

If f(x)=7+4x and g(x)=1/2x, what is the value of (f/g)(5)?

D. 270

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