Advertisements
Advertisements
Question
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
Solution
Speed = `"distance covered"/"time taken"`
⇒ distance = Speed × time
⇒ d = 500 × t .......[∵ time = t hrs]
⇒ d = 500 t
APPEARS IN
RELATED QUESTIONS
If f(x) = x2 − 3x + 4, then find the values of x satisfying the equation f(x) = f(2x + 1).
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:
(iv) \[\frac{f}{g}\]
If f is a real function satisfying \[f\left( x + \frac{1}{x} \right) = x^2 + \frac{1}{x^2}\]
for all x ∈ R − {0}, then write the expression for f(x).
Find x, if g(x) = 0 where g(x) = `(18 -2x^2)/7`
Check the injectivity and surjectivity of the following function.
f : R → R given by f(x) = x3
Write the following expression as a single logarithm.
ln (x + 2) + ln (x − 2) − 3 ln (x + 5)
Answer the following:
Find the range of the following function.
f(x) = `x/(9 + x^2)`
Find the range of the following functions given by f(x) = `3/(2 - x^2)`
Let f(x) = `sqrt(x)` and g(x) = x be two functions defined in the domain R+ ∪ {0}. Find (fg)(x)
The domain and range of real function f defined by f(x) = `sqrt(x - 1)` is given by ______.