Question

What input value produces the same output value for the two functions on the graph ?

Answer 1

The input value is $\boxed{x = 4}$ for the same output value $\boxed{y = 3}.$

Further explanation:

Given:

The options are as follows,

(a). $x = - 1$

(b). $x = 0$

(c). $x = 3$

(d). $x = 4$

Explanation:

The functions are $f\left( x \right){\text{ and }}g\left( x \right).$

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 $f\left( x \right){\text{ and }}g\left( x \right)$ intersects each other at $x = 4$ and $y = 3.$

The point of intersection is $\left( {4,3} \right).$

The input value is $\boxed{x = 4}$ for the same output value $\boxed{y = 3}.$

Option (a) is not correct.

Option (b) is not correct.

Option (b) is not correct.

Option (d) is correct.

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function 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.

Answer 2

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 $(4,3)$

for an input value equal to $4$

the output value for both functions is $3$

therefore

the answer is the option

X= 4