Question

A function and its inverse are shown on the graph. Which statement describes the relationship between the function and its inverse?
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

Answer 1

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 $f^{-1}(x)$ → Set of all real numbers

Range of $f^{-1}(x)$ → y < 2

Therefore, domain of both the functions is a set of all real numbers.

Option (B) is the correct option.