Advertisements
Advertisements
प्रश्न
Answer the following:
Find the range of the following function.
f(x) = |x – 5|
उत्तर
f(x) = |x – 5|
The range of f = `[0, ∞)`
APPEARS IN
संबंधित प्रश्न
Let A = {−2, −1, 0, 1, 2} and f : A → Z be a function defined by f(x) = x2 − 2x − 3. Find:
(a) range of f, i.e. f(A).
Let A = {−2, −1, 0, 1, 2} and f : A → Z be a function defined by f(x) = x2 − 2x − 3. Find:
(b) pre-images of 6, −3 and 5.
f, g, h are three function defined from R to R as follow:
(iii) h(x) = x2 + 1
Find the range of function.
Let X = {1, 2, 3, 4} and Y = {1, 5, 9, 11, 15, 16}
Determine which of the set are functions from X to Y.
(a) f1 = {(1, 1), (2, 11), (3, 1), (4, 15)}
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 for non-zero x, af(x) + bf \[\left( \frac{1}{x} \right) = \frac{1}{x} - 5\] , where a ≠ b, then find f(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:
(vi) \[2f - \sqrt{5} g\]
Write the domain and range of function f(x) given by \[f\left( x \right) = \sqrt{\left[ x \right] - x}\] .
If f(x) = cos (log x), then value of \[f\left( x \right) f\left( 4 \right) - \frac{1}{2} \left\{ f\left( \frac{x}{4} \right) + f\left( 4x \right) \right\}\] is
The range of the function \[f\left( x \right) = \frac{x^2 - x}{x^2 + 2x}\] is
The function f : R → R is defined by f(x) = cos2 x + sin4 x. Then, f(R) =
If f(m) = m2 − 3m + 1, find `(("f"(2 + "h") - "f"(2))/"h"), "h" ≠ 0`
Find x, if g(x) = 0 where g(x) = 6x2 + x − 2
Express the area A of circle as a function of its radius r
lf f(x) = 3(4x+1), find f(– 3)
Express the following exponential equation in logarithmic form
e–x = 6
Express the following logarithmic equation in exponential form
`log_5 1/25` = – 2
Write the following expression as sum or difference of logarithm
`log (sqrt(x) root(3)(y))`
Prove that logbm a = `1/"m" log_"b""a"`
Solve for x.
log2 x + log4 x + log16 x = `21/4`
If f(x) = 3x + 5, g(x) = 6x − 1, then find (f + g) (x)
If f(x) = 3x + 5, g(x) = 6x − 1, then find (fg) (3)
Select the correct answer from given alternatives.
Let the function f be defined by f(x) = `(2x + 1)/(1 - 3x)` then f–1 (x) is ______.
Select the correct answer from given alternatives
If f(x) = 2x2 + bx + c and f(0) = 3 and f(2) = 1, then f(1) is equal to
Answer the following:
Show that, `log ("a"^2/"bc") + log ("b"^2/"ca") + log ("c"^2/"ab")` = 0
Answer the following:
If a2 = b3 = c4 = d5, show that loga bcd = `47/30`
A function f is defined by f(x) = 2x – 3 find x such that f(x) = x
A function f is defined by f(x) = 3 – 2x. Find x such that f(x2) = (f(x))2
The data in the adjacent table depicts the length of a person's forehand and their corresponding height. Based on this data, a student finds a relationship between the height (y) and the forehand length (x) as y = ax + b, where a, b are constant.
Length ‘x’ of forehand (in cm) |
Height 'y' (in inches) |
35 | 56 |
45 | 65 |
50 | 69.5 |
55 | 74 |
Find the height of a person whose forehand length is 40 cm
If f(x) = 5x - 3, then f-1(x) is ______
Domain of function f(x) = cos–1 6x is ______.
The domain of the function f defined by f(x) = `1/sqrt(x - |x|)` is ______.
Find the domain of the following function given by:
f(x) = `(3x)/(2x - 8)`
Find the range of the following functions given by f(x) = 1 – |x – 2|
The domain for which the functions defined by f(x) = 3x2 – 1 and g(x) = 3 + x are equal is ______.
Let f(θ) = sin θ (sin θ + sin 3θ) then ______.
lf f : [0, ∞) `rightarrow` [0, ∞) and f(x) = `x/(1 + x)`, then f is ______.