हिंदी

Check if the relation given by the equation represents y as function of x: 2y + 10 = 0 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Check if the relation given by the equation represents y as function of x:

2y + 10 = 0

योग

उत्तर

2y + 10 = 0

∴ y = – 5

It is a constant function.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Functions - Exercise 6.1 [पृष्ठ ११८]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Functions
Exercise 6.1 | Q 3. (d) | पृष्ठ ११८

संबंधित प्रश्न

Let f : R+ → R, where R+ is the set of all positive real numbers, such that f(x) = loge x. Determine

(a) the image set of the domain of f


Let f : R+ → R, where R+ is the set of all positive real numbers, such that f(x) = loge x. Determine

(c) whether f(xy) = f(x) : f(y) holds

 

If f(x) = loge (1 − x) and g(x) = [x], then determine function:

(iv) \[\frac{g}{f}\] Also, find (f + g) (−1), (fg) (0),

\[\left( \frac{f}{g} \right) \left( \frac{1}{2} \right), \left( \frac{g}{f} \right) \left( \frac{1}{2} \right)\]
 
 

If f(x) = cos [π2]x + cos [−π2x, where [x] denotes the greatest integer less than or equal to x, then write the value of f(π).


If\[f\left( x \right) = 1 - \frac{1}{x}\] , then write the value of \[f\left( f\left( \frac{1}{x} \right) \right)\]

 

 


If f(x) =  4x − x2x ∈ R, then write the value of f(a + 1) −f(a − 1).

 

If f : Q → Q is defined as f(x) = x2, then f−1 (9) is equal to


Which of the following are functions?


The range of the function  \[f\left( x \right) = \frac{x^2 - x}{x^2 + 2x}\]  is 

 

If f(x) = cos (loge x), then \[f\left( \frac{1}{x} \right)f\left( \frac{1}{y} \right) - \frac{1}{2}\left\{ f\left( xy \right) + f\left( \frac{x}{y} \right) \right\}\] is equal to

 

If  \[f\left( x \right) = 64 x^3 + \frac{1}{x^3}\] and α, β are the roots of \[4x + \frac{1}{x} = 3\] . Then,

 

The domain of the function \[f\left( x \right) = \sqrt{\frac{\left( x + 1 \right) \left( x - 3 \right)}{x - 2}}\] is

  

If f(m) = m2 − 3m + 1, find f(0)


If f(x) = `{(x^2 + 3","  x ≤ 2),(5x + 7","  x > 2):},` then find f(0)


Find x, if g(x) = 0 where g(x) = 6x2 + x − 2


Find x, if f(x) = g(x) where f(x) = `sqrt(x) - 3`, g(x) = 5 – x


Check the injectivity and surjectivity of the following function.

f : N → N given by f(x) = x2 


Check the injectivity and surjectivity of the following function.

f : Z → Z given by f(x) = x2 


Express the following exponential equation in logarithmic form

3–4 = `1/81`


Express the following logarithmic equation in exponential form

log2 64 = 6


Write the following expression as sum or difference of logarithm

`log ("pq"/"rs")`


If f(x) = 3x + 5, g(x) = 6x − 1, then find (f − g) (2)


The equation logx2 16 + log2x 64 = 3 has,


Answer the following:

Find whether the following function is one-one

f : R → R defined by f(x) = x2 + 5


Answer the following:

If f(x) = ax2 + bx + 2 and f(1) = 3, f(4) = 42, find a and b


Answer the following:

Show that `7log (15/16) + 6log(8/3) + 5log (2/5) + log(32/25)` = log 3


Answer the following:

If a2 = b3 = c4 = d5, show that loga bcd = `47/30`


Answer the following:

Find the domain of the following function.

f(x) = `(x^2 + 4x + 4)/(x^2 + x - 6)`


A function f is defined by f(x) = 2x – 3 find `("f"(0) + "f"(1))/2`


A function f is defined by f(x) = 2x – 3 find x such that f(x) = x


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 length of forehand of a person if the height is 53.3 inches


Let A = {1, 2, 3, 4} and B = N. Let f : A → B be defined by f(x) = x3 then, find the range of f


The range of the function f(x) = `(x^2 - 3x + 2)/(x^3 - 4x^2 + 5x - 2)` is ______


Redefine the function which is given by f(x) = `|x - 1| + |1 + x|, -2 ≤ x ≤ 2`


Let A and B be any two sets such that n(B) = p, n(A) = q then the total number of functions f : A → B is equal to ______.


Let f(x) = `sqrt(1 + x^2)`, then ______.


The domain and range of real function f defined by f(x) = `sqrt(x - 1)` is given by ______.


If f(x) = x3 – 1 and domain of f = {0, 1, 2, 3}, then domain of f–1 is ______.


If f: R `rightarrow` R be a function defined by f(x) = 4x3 – 7. Then ______.


The domain of f(x) = `sin^-1 [log_2(x/2)]` is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×