Advertisements
Advertisements
प्रश्न
Answer the following:
A function f is defined as : f(x) = 5 – x for 0 ≤ x ≤ 4. Find the value of x such that f(x) = 5
उत्तर
f(x) = 5 – x for 0 ≤ x ≤ 4
f(x) = 5
∴ 5 – x = 5
∴ x = 0
APPEARS IN
संबंधित प्रश्न
If f : R → R be defined by f(x) = x2 + 1, then find f−1 [17] and f−1 [−3].
If \[f\left( x \right) = x^3 - \frac{1}{x^3}\] , show that
If \[f\left( x \right) = \frac{2x}{1 + x^2}\] , show that f(tan θ) = sin 2θ.
If f(x) = loge (1 − x) and g(x) = [x], then determine function:
(i) f + g
Let f : [0, ∞) → R and g : R → R be defined by \[f\left( x \right) = \sqrt{x}\] and g(x) = x. Find f + g, f − g, fg and \[\frac{f}{g}\] .
If f(x) = 4x − x2, x ∈ R, then write the value of f(a + 1) −f(a − 1).
Let A and B be two sets such that n(A) = p and n(B) = q, write the number of functions from A to B.
If f(x) = cos (log x), then the value of f(x2) f(y2) −
Which of the following are functions?
The domain of definition of the function f(x) = log |x| is
The range of the function \[f\left( x \right) = \frac{x}{\left| x \right|}\] is
The range of the function f(x) = |x − 1| is
Check if the following relation is function:
Check if the following relation is function:
If f(x) = `{(x^2 + 3"," x ≤ 2),(5x + 7"," x > 2):},` then find f(3)
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
If f(x) = ax2 + bx + 2 and f(1) = 3, f(4) = 42, find a and b.
Check if the relation given by the equation represents y as function of x:
2x + 3y = 12
Find x, if g(x) = 0 where g(x) = 6x2 + x − 2
Show that if f : A → B and g : B → C are onto, then g ° f is also onto
Express the following exponential equation in logarithmic form
231 = 23
Express the following exponential equation in logarithmic form
`9^(3/2)` = 27
Express the following exponential equation in logarithmic form
10−2 = 0.01
If f(x) = 3x + 5, g(x) = 6x − 1, then find (fg) (3)
Select the correct answer from given alternatives.
Find x, if 2log2 x = 4
Answer the following:
If f(x) = ax2 + bx + 2 and f(1) = 3, f(4) = 42, find a and b
Answer the following:
Solve : `sqrt(log_2 x^4) + 4log_4 sqrt(2/x)` = 2
Answer the following:
Find the domain of the following function.
f(x) = 5–xPx–1
Given the function f: x → x2 – 5x + 6, evaluate f(– 1)
A graph representing the function f(x) is given in it is clear that f(9) = 2
Describe the following Range
A function f is defined by f(x) = 2x – 3 find x such that f(x) = x
The function f and g are defined by f(x) = 6x + 8; g(x) = `(x - 2)/3`
Calculate the value of `"gg" (1/2)`
Find the domain for which the functions f(x) = 2x2 – 1 and g(x) = 1 – 3x are equal.
Find the range of the following functions given by `|x - 4|/(x - 4)`
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 real function f defined by f(x) = `(4 - x)/(x - 4)` is given by ______.
The domain for which the functions defined by f(x) = 3x2 – 1 and g(x) = 3 + x are equal is ______.
Which of the following functions is NOT one-one?
