Functions and Their Graphs

If f(x) = `1/(2x + 1)`, x > `-1/2`, then show that f(f(x)) = `(2x + 1)/(2x + 3)`

Draw the graph of y = 9 - x².

Determine whether the following function is odd or even?

f(x) = `((a^x - 1)/(a^x + 1))`

Determine whether the following function is odd or even?

f(x) = `log (x^2 + sqrt(x^2 + 1))`

If f(x) = x² – x + 1 then f(x + 1) is:

If f(x) = `{(x^2 - 4x if  x >= 2),(x+2 if x < 2):}`, then f(5) is

Determine whether the following function is odd or even?

f(x) = sin x + cos x

Determine whether the following function is odd or even?

f(x) = x² – |x|