Several values of x, and the corresponding values for polynomial functions f and g are shown in the table above. Which of the following statements is true?
I. `f(0)+g(0)=0`
II. f(x) is divisible by x+2
III. g(x) is divisible by x+3.

Graphs of the functions f and g are shown in the xy-plane above. For which of the following values of x does f(x) + g(x) =0 ?

Several values for the functions g (x) and h (x) are shown in the table above. What is the value of g (h(3)) ?

If f(x)ge 0 and g(x)ge 0 for all real x, which of the following statements must be true ? I. f(x)+g(x)ge 0 II. f(x)-g(x)ge 0 III. f(x)g(x)ge 0

If f(x)=cosx and g(x)=2x+1 , which of the following are even functions? I. f(x)*g(x) II f(g(x)) III. g(f(x))

Let f(x)=[x], where [.] is the greatest integer fraction and g(x)=sin x be two valued functions over R. Which of the following statements is correct? (a) Both f(x) and g(x) are continuous at x=0 (b) f(x) is continuous at x=0, but g(x) is not continuous at x=0. (c) g(x) is continuous at x=0, but f(x) is not continuous at x=0. (d) Both f(x) and g(x) are discontinuous at x=0

f(x)=2x^(3)+6x^(2)+4x g(x)x^(2)+3x+2 The polynomials f (x ) and g (x ) are defined above. Which of the following polynomials is divisible by 2x+3 ?

The tables above gives the values of functions f and g for several values of x. If g(f(b))=8 , what is the value of b?

If f(x)=x^(3) and g(x)=x^(2)+1 , which of the following is an odd functionn (are odd functions)? I. f(x)*g(x) II. f(g(x)) III. g(f(x))

Let f(x) and g(x) be polynomials with real coefficients.If F(x)=f(x^(3))+xg(x^(3)) is divisible by x^(2)+x+1, then both f(x) and g(x) are divisible by

Let f(x) be a polynomial function: f(x)=x^(5)+ . . . . if f(1)=0 and f(2)=0, then f(x) is divisible by