हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग

उत्तर

f(x) = 3x + a
f(1) = 7
∴ 3(1) + a = 7
∴ a = 7 – 3 = 4
∴ f(x) = 3x + 4
∴ f(4) = 3(4) + 4 = 12 + 4 = 16

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Functions - Miscellaneous Exercise 2 [पृष्ठ ३२]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 2 Functions
Miscellaneous Exercise 2 | Q 6 | पृष्ठ ३२

संबंधित प्रश्न

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

(ii) g(x) = sin x

Find the range of function.


If f(x) = x2, find \[\frac{f\left( 1 . 1 \right) - f\left( 1 \right)}{\left( 1 . 1 \right) - 1}\]


The domain of definition of the function f(x) = log |x| is


Express the area A of a square as a function of its side s


Express the following logarithmic equation in exponential form

log10 (0.001) = −3


Find the domain of f(x) = log10 (x2 − 5x + 6)


Write the following expression as sum or difference of logarithm

`log (sqrt(x) root(3)(y))`


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:

Identify the following relation is the function? If it is a function determine its domain and range

{(12, 1), (3, 1), (5, 2)}


Answer the following:

Simplify, log (log x4) – log (log x)


Answer the following:
If log3 [log2 (log3x)] = 1, show that x = 6561

Let X = {3, 4, 6, 8}. Determine whether the relation R = {(x, f(x)) | x ∈ X, f(x) = x2 + 1} is a function from X to N?


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


A function f is defined by f(x) = 2x – 3 find x such that f(x) = f(1 – x)


The range of the function f(x) = `(x - 3)/(5 - x)`, x ≠ 5 is ______.


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


Find the domain of the following function given by:

f(x) = `(3x)/(2x - 8)`


If f(x) = `(x - 1)/(x + 1)`, then show that `f(- 1/x) = (-1)/(f(x))`


Find the domain and range of the function f(x) = `1/sqrt(x - 5)`


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×