If `f(g(a))=6, f(x)=(x)/(2)+2, and g(x)=|x^(2)-10|`, which of the following is a possible value of a?

If f(x)=7x+12 and f(g(x))=21x^(2)+40 , then which of the following is g(x) ?

If f (x) =3 -x and g (x) = (x ^(2))/(2), which of the following is NOT in the range of f (g (x) ?

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))

If f(x)=x^(2)+1 and f(g(2))=1 , then which of the following could be a possible expression for g(x)?C

Let f(x) = sqrt(2-x-x^(2)) and g(x) = cos x . Which of the following statement are true ? (I) Domain of f((f(x))^(2)) = Domain of f(g(x)) (II) Domain of f(g(x)) + g(f(x)) = Domain of f(g(x)) (III) Domain of f(g(x)) = Domain of f(g(x)) (IV) Domain of g((f(x))^(3)) = Domain of f(g(x))

If f(x) =x^(2) +1, g(x) = x^(2) - 5x+6 , find f+g, f-g, f/g .

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

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))

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(x) is