function operations quiz

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the graphs of f(x) & g(x) are shown below for what interval is the value (f-g)(x) negative?

(-infinity, 2)

If p(x) = x^2 - 1 and q(x)= 5(x-1) , which expression is equivalent to (p - q)(x)?

(x^2 - 1) - 5(x - 1)

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

-168

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

12

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

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

If f(x) = 4 - x^2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?

6(3) - 4 + 3^2

if c(x)= 5/x-2 & d(x)= x+3 what is the domain of (cd)(x)

NOT all real values of x

which expression is equivalent to (f+g)(4)

f(4)+g(4)

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

s(6) × t(6)

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

the leading coeddicients of f(x) & g(x) are opposites


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