Function Operations

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

D. 270

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

A. (ab)(x)

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.

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

C. s(6)×t(6)

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

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

A. f(4)+g(4)

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

B. -168

If f(x)=x²-25 and g(x)=x-5, what is the domain of (f/g)(x)?

B. all real values of x except x=5

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

C.

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

C. -x³+x²-1

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

C. 12

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

C. 16

If f(x) = 4 - x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?

C. 6(3) - 4 + 32

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

D.

For what interval is the value of (f - g)(x) negative?

B. (-∞, 2)

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) = 3 - 2x and g(x) = 1/x + 5 , what is the value of (f/g)(8)

A. -169

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

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