Question
Please Help me on these..!
Indicate whether the graph specifies a function. The graph does not specify a function. The graph does specify a function. For the given functions, find (f g)(x) and (g f)(x) and the domain of each. f(x) = 3x + 1, g(x) = (f g)(x) = (g f)(x) = The domain of f g is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The domain of g f is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) Determine whether the graph of the following function has symmetry about the x-axis, the y-axis, or the origin. Check your work by graphing. f(x) =3x3-3x -5 Choose the correct answer below. The function is symmetric with respect to the origin. The function has no symmetry. The function is symmetric with respect to the y-axis. Use transformations to explain how the graph of f can be found by using the graph of y = f(x) = - Which of the following explains the transformations to find the graph of f? Shifting of y = to the left 3 units and reflected about the y-axis. Shifting of y = to the right 3 units and reflected about the y-axis. Shifting of y = to the right 3 units and reflected about the x-axis. Shifting of y = to the left 3 units and reflected about the x-axis. Use transformations to explain how the graph of f can be found by using the graph of y = x2. f(x)= 1/4(x-5)2 Which of the following explains the transformations to find the graph of f? Shifting of y = x2 to the left 5 units and horizontal shrinking of the resulting graph by a factor of 1/4 Shifting of y = x2 to the right 5 units and horizontal stretching of the resulting graph by a factor of 1/4 Shifting of y = x2 to the left 5 units and vertical stretching of the resulting graph by a factor of 1/4 Shifting of y = x2 to the right 5 units and vertical shrinking of the resulting graph by a factor of 1/4 If g(t)= 12t - t2, find g(t + h)-g(t)/h and simplify. g(t + h) - g(t)/h =
Explanation / Answer
(1)f(0) has two values so,
ans the graph does not specify afuntion
(2)3sqrt(x)+1
sqrt(3x+1)
[0,infinity)
[-1/3,infinity)
(3)function has no symmtry
(4)left 3 units and about x axis
(5)left 5 units and vetial stretch(3)
(6)12-h-2t