Questions from Calculus

Q: Find the composite functions f ∘ g and g ∘ f.

Find the composite functions f ∘ g and g ∘ f. Find the domain of each composite function. Are the two composite functions equal? f(x) = 3/x g(x) = x2 − 1

Q: Find the composite functions f ∘ g and g ∘ f.

Find the composite functions f ∘ g and g ∘ f. Find the domain of each composite function. Are the two composite functions equal? f(x) = 1/x g(x) = √x + 2

Q: Let f(x) = 1/ 1-x.

Let f(x) = 1/ 1-x. a. What are the domain and range of f? b. Find the composition f( f(x)). What is the domain of this function? c. Find f( f( f(x))). What is the domain of this function? d. Graph f(...

Q: Use the graphs of f and g to evaluate each expression.

Use the graphs of f and g to evaluate each expression. If the result is undefined, explain why. a. ( f ∘ g)(3) b. g(f(2)) c. g(f(5)) d. (...

Q: A pebble is dropped into a calm pond, causing ripples in

A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius (in feet) of the outer ripple is given by r(t) = 0.6t, where t is the time in seconds after the pebb...

Q: F(x) = f ∘ g ∘ h. Identify

F(x) = f ∘ g ∘ h. Identify functions for f, g, and h. (There are many correct answers.) F(x) = √2x − 2

Q: F(x) = f ∘ g ∘ h. Identify

F(x) = f ∘ g ∘ h. Identify functions for f, g, and h. (There are many correct answers.) F(x) = 1 / 4x6

Q: Find the coordinates of a second point on the graph of a

Find the coordinates of a second point on the graph of a function f when the given point is on the graph and the function is (a) even and (b) odd. (-3/2, 4 )

Q: Test for symmetry with respect to each axis and to the origin

Test for symmetry with respect to each axis and to the origin. y = 4 − √x+ 3

Q: Find the coordinates of a second point on the graph of a

Find the coordinates of a second point on the graph of a function f when the given point is on the graph and the function is (a) even and (b) odd. (4, 9)