हिंदी

If f(m) = m2 − 3m + 1, find f(− x) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

If f(m) = m2 − 3m + 1, find f(− x)

योग

उत्तर

f(m) = m2 − 3m + 1

f(− x) = (− x)2 − 3(− x) + 1

= x2 + 3x + 1

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 4. (e) | पृष्ठ ११८

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 X = {1, 2, 3, 4} and Y = {1, 5, 9, 11, 15, 16}
Determine which of the set are functions from X to Y.

(b) f2 = {(1, 1), (2, 7), (3, 5)}


If f(x) = (x − a)2 (x − b)2, find f(a + b).

 

If  \[y = f\left( x \right) = \frac{ax - b}{bx - a}\] , show that x = f(y).

 

 


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: 

(vii) f2 + 7f


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

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

 

Let f : [0, ∞) → R and g : R → R be defined by \[f\left( x \right) = \sqrt{x}\] and g(x) = x. Find f + gf − gfg and \[\frac{f}{g}\] .

 
 

Write the range of the function f(x) = cos [x], where \[\frac{- \pi}{2} < x < \frac{\pi}{2}\] .

 

If fgh are real functions given by f(x) = x2g(x) = tan x and h(x) = loge x, then write the value of (hogof)\[\left( \sqrt{\frac{\pi}{4}} \right)\] .

 


If 2f (x) − \[3f\left( \frac{1}{x} \right) = x^2\] (x ≠ 0), then f(2) is equal to

 

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  \[f\left( x \right) = \frac{\sin^4 x + \cos^2 x}{\sin^2 x + \cos^4 x}\] for x ∈ R, then f (2002) = 


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,

 

Check if the following relation is function:


If f(m) = m2 − 3m + 1, find f(− x)


Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify.

{(1, 1), (2, 1), (3, 1), (4, 1)}


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

x2 − y = 25


If f(m) = m2 − 3m + 1, find f(−3)


Find x, if g(x) = 0 where g(x) = `(5x - 6)/7`


Find x, if g(x) = 0 where g(x) = `(18 -2x^2)/7`


Find the domain and range of the following function.

f(x) = `sqrt((x - 2)(5 - x)`


Express the following exponential equation in logarithmic form

`9^(3/2)` = 27


Express the following exponential equation in logarithmic form

e–x = 6


Answer the following:

Simplify `log_10  28/45 - log_10  35/324 + log_10  325/432 - log_10  13/15`


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) = 5–xPx–1


A graph representing the function f(x) is given in it is clear that f(9) = 2

For what value of x is f(x) = 1?


A graph representing the function f(x) is given in it is clear that f(9) = 2

What is the image of 6 under f?


Let f(x) = 2x + 5. If x ≠ 0 then find `(f(x + 2) -"f"(2))/x`


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


The function f and g are defined by f(x) = 6x + 8; g(x) = `(x - 2)/3`

 Calculate the value of `"gg" (1/2)`


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


The domain of the function f defined by f(x) = `1/sqrt(x - |x|)` is ______.


Let f(x) = `sqrt(x)` and g(x) = x be two functions defined in the domain R+ ∪ {0}. Find (f + g)(x)


Range of f(x) = `1/(1 - 2 cosx)` is ______.


The domain and range of the real function f defined by f(x) = `(4 - x)/(x - 4)` is given by ______.


The domain and range of the function f given by f(x) = 2 – |x – 5| is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×