Advertisements
Advertisements
प्रश्न
If f(x) = `{(x^2 + 3"," x ≤ 2),(5x + 7"," x > 2):},` then find f(2)
उत्तर
f(x) = x2 + 3, x ≤ 2
= 5x + 7, x > 2
f(2) = 22 + 3
= 4 + 3
= 7
APPEARS IN
संबंधित प्रश्न
If f, g and h are real functions defined by
Let f(x) = x2 and g(x) = 2x+ 1 be two real functions. Find (f + g) (x), (f − g) (x), (fg) (x) and \[\left( \frac{f}{g} \right) \left( x \right)\] .
If f(x) = 4x − x2, x ∈ R, then write the value of f(a + 1) −f(a − 1).
Which one of the following is not a function?
Let f(x) = x, \[g\left( x \right) = \frac{1}{x}\] and h(x) = f(x) g(x). Then, h(x) = 1
The domain of definition of the function f(x) = log |x| is
Let \[f\left( x \right) = \sqrt{x^2 + 1}\ ] . Then, which of the following is correct?
A function f is defined as follows: f(x) = 5 − x for 0 ≤ x ≤ 4. Find the value of x such that f(x) = 3
Write the following expression as sum or difference of logarithm
In `(("a"^3 ("a" - 2)^2)/sqrt("b"^2 + 5))`
Write the following expression as a single logarithm.
ln (x + 2) + ln (x − 2) − 3 ln (x + 5)
Answer the following:
Without using log tables, prove that `2/5 < log_10 3 < 1/2`
Answer the following:
Find the domain of the following function.
f(x) = x!
A function f is defined by f(x) = 2x – 3 find x such that f(x) = 0
A function f is defined by f(x) = 2x – 3 find x such that f(x) = x
A plane is flying at a speed of 500 km per hour. Express the distance ‘d’ travelled by the plane as function of time t in hour
If f(x) = `{{:(x^2",", x ≥ 0),(x^3",", x < 0):}`, then f(x) is ______.
The domain of the function f defined by f(x) = `1/sqrt(x - |x|)` is ______.
Redefine the function f(x) = x − 2 + 2 + x , – 3 ≤ x ≤ 3
The domain for which the functions defined by f(x) = 3x2 – 1 and g(x) = 3 + x are equal is ______.
The range of the function f(x) = `""^(7 - x)P_(x - 3)` is ______.