Advertisements
Advertisements
Question
If f(m) = m2 − 3m + 1, find `f(1/2)`
Solution
`f(1/2) = (1/2)^2 - 3(1/2) + 1`
= `1/4 - 3/2 +1`
=`(1-6+4)/4`
= `-1/4`.
APPEARS IN
RELATED QUESTIONS
If f(x) = (a − xn)1/n, a > 0 and n ∈ N, then prove that f(f(x)) = x for all x.
Let f and g be two real functions defined by \[f\left( x \right) = \sqrt{x + 1}\] and \[g\left( x \right) = \sqrt{9 - x^2}\] . Then, describe function:
(vii) f2 + 7f
Let f and g be two real functions given by
f = {(0, 1), (2, 0), (3, −4), (4, 2), (5, 1)} and g = {(1, 0), (2, 2), (3, −1), (4, 4), (5, 3)}
Find the domain of fg.
If x ≠ 1 and \[f\left( x \right) = \frac{x + 1}{x - 1}\] is a real function, then f(f(f(2))) is
If f(x) = sin [π2] x + sin [−π]2 x, where [x] denotes the greatest integer less than or equal to x, then
Which of the following relations are functions? If it is a function determine its domain and range:
{(0, 0), (1, 1), (1, −1), (4, 2), (4, −2), (9, 3), (9, −3), (16, 4), (16, −4)}
Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify.
{(1, 0), (3, 3), (2, −1), (4, 1), (2, 2)}
If f(m) = m2 − 3m + 1, find f(x + 1)
Find x, if g(x) = 0 where g(x) = x3 − 2x2 − 5x + 6
Prove that logbm a = `1/"m" log_"b""a"`
Answer the following:
If f(x) = 3x + a and f(1) = 7 find a and f(4)
Answer the following:
If b2 = ac. prove that, log a + log c = 2 log b
Answer the following:
Find the domain of the following function.
f(x) = x!
A graph representing the function f(x) is given in it is clear that f(9) = 2
For what value of x is f(x) = 1?
A function f is defined by f(x) = 2x – 3 find x such that f(x) = f(1 – x)
Find the domain of the following functions given by f(x) = x|x|
Redefine the function f(x) = x − 2 + 2 + x , – 3 ≤ x ≤ 3
If f(x) = `(x - 1)/(x + 1)`, then show that `f(1/x)` = – f(x)
Let f(x) = `sqrt(x)` and g(x) = x be two functions defined in the domain R+ ∪ {0}. Find (f + g)(x)
The domain and range of the function f given by f(x) = 2 – |x – 5| is ______.
