Respuesta :
Answer:
A pair of linear functions
Step-by-step explanation:
A pair of linear function always has an inverse linear function and the linear function always has a domain and range of all real numbers.
-domain and range are always real numbers
-pair of linear functions always have an inverse which has the domain of all real numbers
A pair of linear functions and their inverses will always have a domain and range of all real numbers.
What is function?
" Function is defined as the set of all input values have at least one output value."
According to the question,
a. A pair of linear functions : let the function be y = x.
Domain : (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Inverse of linear function is linear domain and range set of all real numbers.
Option A is the correct answer.
b. A cubic function and a cube root function : Let y = x³
Domain: (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Inverse function , x = ∛y ,
Domain: (-∞ , ∞) set of all real numbers
Range : (-∞ , ∞) set of all real numbers
Option B is not a correct answer.
c. a quadratic function and a square root function :
Domain of square root function: y = √x is [ 0, ∞)
Range of square root function: y = √x is [ 0, ∞)
Domain of quadratic function is (-∞ , ∞) set of all real numbers.
Range : all possible values of y.
Option C is not a correct answer.
D. A logarithmic function and an exponential function :
Domain : ( 0, ∞)
Range : set of all real numbers
Exponential function:
Domain : set of all real numbers
Range : ( 0, ∞)
Option D is not a correct answer.
Hence , Option A is the correct answer.
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