The input value produces the same output value for the two functions on the graph is \(\boxed{x = - 2}\). Option (b) is correct.
Further explanation:
Given:
The options are as follows,
(a). \(x = - 3\)
(b). \(x = - 2\)
(c). \(x = - 1\)
(d). \(x = 3\)
Explanation:
The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.
The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.
The functions are \(f\left( x \right){\text{ and }}g\left( x \right).\)
From the graph it has been observed that the line of the function intersects each other at \(x=- 2.\)
The input value produces the same output value for the two functions on the graph is \(\boxed{x = - 2}\). Option (b) is correct.
Learn more:
- Learn more about inverse of the function https://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function https://brainly.com/question/3412497.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Relation and Function
Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.
