Advertisements
Advertisements
Question
Determine whether the following function is odd or even?
f(x) = `((a^x - 1)/(a^x + 1))`
Solution
f(-x) = `((a^-x - 1)/(a^-x + 1))`
`= ((1/a^x - 1)/(1/a^x + 1))`
`= (1 - a^x)/(1 + a^x)`
`= - ((a^x - 1)/(a^x + 1))`
Thus f(-x) = - f(x)
∴ f(x) is an odd function.
APPEARS IN
RELATED QUESTIONS
If f(x) = `((x + 1)/(x - 1))`, then prove that f(f(x)) = x.
For f(x) = `(x - 1)/(3x + 1)`, write the expressions of `"f"(1/x) and 1/("f"(x))`
If f(x) = ex and g(x) = loge x then find (3f) (1).
Draw the graph of the following function:
f(x) = 16 – x2
Draw the graph of the following function:
f(x) = |x – 2|
Draw the graph of the following function:
f(x) = e2x
Draw the graph of the following function:
f(x) = e-2x
The graph of y = 2x2 is passing through:
The range of f(x) = |x|, for all x ∈ R is:
The graph of f(x) = ex is identical to that of:
