Respuesta :
we know that
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is [tex](4,3)[/tex]
for an input value equal to [tex]4[/tex]
the output value for both functions is [tex]3[/tex]
therefore
the answer is the option
X= 4
The input value is [tex]\boxed{x = 4}[/tex] for the same output value [tex]\boxed{y = 3}.[/tex]
Further explanation:
Given:
The options are as follows,
(a). [tex]x = - 1[/tex]
(b). [tex]x = 0[/tex]
(c). [tex]x = 3[/tex]
(d). [tex]x = 4[/tex]
Explanation:
The functions are [tex]f\left( x \right){\text{ and }}g\left( x \right).[/tex]
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.
It has been observed from the graph that the line of the functions [tex]f\left( x \right){\text{ and }}g\left( x \right)[/tex] intersects each other at [tex]x = 4[/tex] and [tex]y = 3.[/tex]
The point of intersection is [tex]\left( {4,3} \right).[/tex]
The input value is [tex]\boxed{x = 4}[/tex] for the same output value [tex]\boxed{y = 3}.[/tex]
Option (a) is not correct.
Option (b) is not correct.
Option (b) is not correct.
Option (d) 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.