Questions from General Calculus

Q: Express the function in the form f 0 g. G

Express the function in the form f 0 g. G(x) = 3 x/ 1+x

Q: Express the function in the form f 0 g. v

Express the function in the form f 0 g. v(t) = sec(t2) tan(t2)

Q: Express the function in the form f 0 g. u

Express the function in the form f 0 g. u(t) =tan t / 1 + tan t

Q: Express the function in the form f 0 g 0 h.

Express the function in the form f 0 g 0 h. R(x) =√ x − 1

Q: Express the function in the form f 0 g 0 h.

Express the function in the form f 0 g 0 h. H(x) = 8 2 +|x|

Q: Express the function in the form f 0 g 0 h.

Express the function in the form f 0 g 0 h. S(t) = sin2(cos t)

Q: Sketch a rough graph of the number of hours of daylight as

Sketch a rough graph of the number of hours of daylight as a function of the time of year.

Q: Use the table to evaluate each expression. a. f

Use the table to evaluate each expression. a. f(g(1)) b. g(f(1)) c. f(f(1)) d. g(g(1)) e. (g 0 f)(3) f. (f 0 g)(6)

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

Use the given graphs of f and g to evaluate each expression, or explain why it is undefined. a. f(g(2)) b. g(f(0)) c. (f 0 g)(0) d. (g 0 f)(6) e. (g 0 g)(-2) f. (f 0 f)(4)

Q: Use the given graphs of f and g to estimate the value

Use the given graphs of f and g to estimate the value of f(g(x)) for x = 25, 24, 23,..., 5. Use these estimates to sketch a rough graph of f 0 g.