हिंदी

If f(x) = 3x + 5, g(x) = 6x − 1, then find (fg) (3) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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

योग

उत्तर

f(x) = 3x + 5, g(x) = 6x – 1

(fg) (3) = f(3) g(3)

= [3 (3) + 5] [6 (3) – 1]

= (14) (17)

 = 238

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Functions - Exercise 6.2 [पृष्ठ १२७]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Functions
Exercise 6.2 | Q 1. (c) | पृष्ठ १२७

संबंधित प्रश्न

If f(x) = x2, find `(f(1.1) - f(1))/((1.1 - 1))`


Let f be the subset of Z × Z defined by f = {(ab, a + b): a, b ∈ Z}. Is f a function from Z to Z: justify your answer.


What is the fundamental difference between a relation and a function? Is every relation a function?


\[f\left( x \right) = \begin{cases}3x - 2, & x < 0; \\ 1, & x = 0; \\ 4x + 1, & x > 0 .\end{cases}\]

find: f(1), f(−1), f(0) and f(2).

 

 


fgh are three function defined from R to R as follow:

(iii) h(x) = x2 + 1

Find the range of function.


If  \[f\left( x \right) = x^3 - \frac{1}{x^3}\] , show that

\[f\left( x \right) + f\left( \frac{1}{x} \right) = 0 .\]
 

 


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: 

(v) \[\frac{g}{f}\]

 

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

 

Write the domain and range of  \[f\left( x \right) = \sqrt{x - \left[ x \right]}\] .

 

If  \[e^{f\left( x \right)} = \frac{10 + x}{10 - x}\] , x ∈ (−10, 10) and \[f\left( x \right) = kf\left( \frac{200 x}{100 + x^2} \right)\] , then k =

 

f is a real valued function given by \[f\left( x \right) = 27 x^3 + \frac{1}{x^3}\] and α, β are roots of \[3x + \frac{1}{x} = 12\] . Then,

 
 

If f : R → R be given by for all \[f\left( x \right) = \frac{4^x}{4^x + 2}\]  x ∈ R, then

 

The domain of definition of  \[f\left( x \right) = \sqrt{4x - x^2}\] is 

 

Let  \[f\left( x \right) = \sqrt{x^2 + 1}\ ] . Then, which of the following is correct?

 


If f(x) = 3x + a and f(1) = 7 find a and f(4).


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

x + y2 = 9


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


Find the domain and range of the following function.

g(x) = `(x + 4)/(x - 2)`


Express the area A of circle as a function of its diameter d


Express the area A of circle as a function of its circumference C.


An open box is made from a square of cardboard of 30 cms side, by cutting squares of length x centimeters from each corner and folding the sides up. Express the volume of the box as a function of x. Also find its domain


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 : R → R given by f(x) = x2 


Find the domain of f(x) = ln (x − 5)


Select the correct answer from given alternatives.

If log (5x – 9) – log (x + 3) = log 2 then x = ...............


Answer the following:

If f(x) = 3x + a and f(1) = 7 find a and f(4)


Answer the following:

Let f : R → R be given by f(x) = x3 + 1 for all x ∈ R. Draw its graph


Answer the following:

Find the domain of the following function.

f(x) = x!


Answer the following:

Find the range of the following function.

f(x) = [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


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

Check if this relation is a function


The domain of the real valued function f(x) = `sqrt((x - 2)/(3 - x))` is ______.


Mapping f: R → R which is defined as f(x) = sin x, x ∈ R will be ______ 


Find the range of the following functions given by `sqrt(16 - x^2)`


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 ______.


The range of the function f(x) = `""^(7 - x)P_(x - 3)` is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×