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