Advertisements
Advertisements
प्रश्न
Determine whether the following function is odd or even?
f(x) = `((a^x - 1)/(a^x + 1))`
Advertisements
उत्तर
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
संबंधित प्रश्न
Determine whether the following function is odd or even?
f(x) = x2 – |x|
If f(x) = ex and g(x) = loge x then find (f + g)(1)
Draw the graph of the following function:
f(x) = 16 – x2
Draw the graph of the following function:
f(x) = e2x
Draw the graph of the following function:
f(x) = e-2x
If f(x) = `1/(2x + 1)`, x > `-1/2`, then show that f(f(x)) = `(2x + 1)/(2x + 3)`
The graph of the line y = 3 is
The minimum value of the function f(x) = |x| is:
The range of f(x) = |x|, for all x ∈ R is:
The graph of f(x) = ex is identical to that of:
