Home
Class 12
MATHS
If point (a,b) lies on the graph of func...

If point (a,b) lies on the graph of function f, which of the following points must lie on the graph of the inverse f?

A

(a,b)

B

(-a,b)

C

(a,-b)

D

(b,a)

Text Solution

Verified by Experts

The correct Answer is:
D
Since inverse sunctions are symmetric about the line y=x , if point (A,b) lies on f, point (b,a) must lie on `f^(-1)` [1]
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Given the graph of y = f(x) , which of the following is graph of y =f(1-x)

The graph of the function y =f(x) . Then which of the following curve represent the graph of the function y= |f(x)|

Knowledge Check

  • If f(-x) = -f(x) for all x and if the point (-2,3) is on the graph of f , which of the following points must also be on the graph of f ?

    A
    (-3,2)
    B
    (2,-3)
    C
    (-2,3)
    D
    (-2,-3)

  • Functiuon g is related to function f by the equation g(x)=f(x-1)-2 . If the point (4,3) is on the graph of function f, what are the coordinates of the corresponding point on the graph of function g?

    A
    (3,1)
    B
    (5,1)
    C
    (1,3)
    D
    (1,5)

  • If the accomanying figure above shows the graph of function f, which of the following could represent the graph of y=f(x+1) ?

    A
    B
    C
    D

    • Similar Questions

    Explore conceptually related problems

    Which of the following graphs are graphs of a function?

    The graph of f(x) is shown above , Which of the following represents the graph of f(x-3) ?

    If the graph above is that of f(x), which of the following could be f(x)?

    If f(x)=4x+2 , which of the following is the graph of f(x)?

    The graph of the function f is shown above. Which of the following could represent the graph of y=|f(x)| ?

    Home
    Profile