A function and its inverse are shown on the graph. Which statement describes the relationship between the function and its inver
se?
TIMED QUIZ PLEASE HELP
A) The range of both f(x) and f^-1(x) is all real numbers.
B) The domain of both f(x) and f^-1(x) is all real numbers
C) The range of f(x) is y>0 and the domain of f^-1(x) is x>0
D) The domain of f(x) is x>0 and the range of f^-1(x) is y>0
TIMED QUIZ PLEASE HELP
A) The range of both f(x) and f^-1(x) is all real numbers.
B) The domain of both f(x) and f^-1(x) is all real numbers
C) The range of f(x) is y>0 and the domain of f^-1(x) is x>0
D) The domain of f(x) is x>0 and the range of f^-1(x) is y>0
2 answers:
Answer:
Option (B)
Step-by-step explanation:
Domain of function is defined by the set of x-values (input values) and Range of a function is a set of y-values (output values).
From the graph attached,
Domain of f(x) → Set of all real numbers
Range of f(x) → y-values > 0
Domain of → Set of all real numbers
Range of → y < 2
Therefore, domain of both the functions is a set of all real numbers.
Option (B) is the correct option.
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Answer:
Option c, A square matrix
Step-by-step explanation:
Given system of linear equations are
Now to find the type of matrix can be formed by using this system
of equations
From the given system of linear equations we can form a matrix
Let A be a matrix
A matrix can be written by
A=co-efficient of x of 1st linear equation co-efficient of y of 1st linear equation constant of 1st terms linear equation
co-efficient of x of 2st linear equation co-efficient of y of 2st linear equation constant of 2st terms linear equation
co-efficient of x of 3st linear equation co-efficient of y of 3st linear equation constant of 3st terms linear equation
which is a matrix.
Therefore A can be written as
A=
Matrix "A" is a matrix so that it has 3 rows and 3 columns
A square matrix has equal rows and equal columns
Since matrix "A" has equal rows and columns Therefore it must be a square matrix
Therefore the given system of linear equation forms a square matrix