मराठी

If f = {(5, 2), (6, 3)} and g = {(2, 5), (3, 6)}, write the range of f and g - Mathematics

Advertisements
Advertisements

प्रश्न

If f = {(5, 2), (6, 3)} and g = {(2, 5), (3, 6)}, write the range of f and g

बेरीज

उत्तर

The range of f = {2, 3} and the range of g = {5, 6}.

shaalaa.com
Inverse of a Function
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Relations And Functions - Solved Examples [पृष्ठ ४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 1 Relations And Functions
Solved Examples | Q 8 | पृष्ठ ४

संबंधित प्रश्‍न

Let f : N→N be a function defined as f(x)=`9x^2`+6x−5. Show that f : N→S, where S is the range of f, is invertible. Find the inverse of f and hence find `f^-1`(43) and` f^−1`(163).


If the function f : R → R be given by f[x] = x2 + 2 and g : R ​→ R be given by  `g(x)=x/(x−1)` , x1, find fog and gof and hence find fog (2) and gof (−3).


Consider `f:R - {-4/3} -> R - {4/3}` given by f(x) = `(4x + 3)/(3x + 4)`. Show that f is bijective. Find the inverse of f and hence find `f^(-1) (0)` and X such that `f^(-1) (x) = 2`


Solve:  sin(2 tan -1 x)=1


If f A→ A and A=R - `{8/5}` , show that the function `f (x) = (8x + 3)/(5x - 8)` is one-one onto. Hence,find `f^-1`.


Prove that the line 2x - 3y = 9 touches the conics y2 = -8x. Also, find the point of contact.


Let R be the equivalence relation in the set Z of integers given by R = {(a, b): 2 divides a – b}. Write the equivalence class [0]


If A = {1, 2, 3} and f, g are relations corresponding to the subset of A × A indicated against them, which of f, g is a function? Why?
f = {(1, 3), (2, 3), (3, 2)}
g = {(1, 2), (1, 3), (3, 1)}


If A = {a, b, c, d} and the function f = {(a, b), (b, d), (c, a), (d, c)}, write f–1 


If the mappings f and g are given by f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}, write f o g.


If functions f: A → B and g: B → A satisfy gof = IA, then show that f is one-one and g is onto


Functions f , g: R → R are defined, respectively, by f(x) = x 2 + 3x + 1, g(x) = 2x – 3, find f o g


Functions f , g: R → R are defined, respectively, by f(x) = x 2 + 3x + 1, g(x) = 2x – 3, find g o f


Functions f , g: R → R are defined, respectively, by f(x) = x 2 + 3x + 1, g(x) = 2x – 3, find f o f


Functions f , g: R → R are defined, respectively, by f(x) = x 2 + 3x + 1, g(x) = 2x – 3, find g o g


Let f: R → R be defined by f(x) = `{{:(2x",", x > 3),(x^2",", 1 < x ≤ 3),(3x",", x ≤ 1):}`. Then f(–1) + f(2) + f(4) is ______.


Let f: R → R be defined by f(x) = `x/sqrt(1 + x^2)`. Then (f o f o f) (x) = ______.


If f : R → R and g : R → R defined by f(x) = 2x + 3 and g(x) = x2 + 7, then the value of x for which f(g(x)) = 25 is ____________.


If f : `(1, infty) → (2, infty)  "is given by f"("x") = "x" + 1/"x"`, then f-1 equals to ____________.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×