Advertisements
Advertisements
Question
If f(x) = `1/(2x + 1)`, x > `-1/2`, then show that f(f(x)) = `(2x + 1)/(2x + 3)`
Advertisements
Solution
Given f(x) = `1/(2x + 1)`
f(f(x)) = f`(1/(2x + 1))`
`= 1/(2(1/(2x + 1)) + 1)`
`= 1/(2/(2x + 1) + 1)`
`= 1/((2x + 2 + 1)/(2x + 1))`
`= (2x + 1)/(2x + 3)`
since x ≠ `- 3/2`
APPEARS IN
RELATED QUESTIONS
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) = x2 – |x|
Determine whether the following function is odd or even?
f(x) = x + x2
If f(x) = `x^3 - 1/x^3`, then show that `"f"(x) + "f"(1/x)` = 0
If f(x) = ex and g(x) = loge x then find (f + g)(1)
Draw the graph of the following function:
f(x) = e2x
Draw the graph of the following function:
f(x) = e-2x
Draw the graph of y = 9 - x2.
If f(x) = 2x and g(x) = `1/2^x` then (fg)(x) is:
Which of the following function is neither even nor odd?
