Answer:
Hence, the input value that produces the same output for the functions represented by the tables is:
x=2
Step-by-step explanation:
We are given a function f(x) and g(x) as:
and
Clearly the function g(x) and f(x) are linear function.
We have to find such input value that gives the same output value for the function.
i.e. we have to find x such that:
g(x)=f(x)
i.e. -0.5x+2=2x-3
⇒ 2x+0.5x=2+3
⇒ 2.5x=5
⇒ x=5/2.5
⇒ x=2
Hence, the input value that produces the same output for the functions represented by the tables is:
x=2
The input value that produces the same output value in both charts is 2.Option D is the correct answer.
A mathematical expression which has two variables , one is dependent variable and the other is an independent variable.
Functions have wide usage and comes with a defined domain and range.
It is given in the question that there are two functions
Function(x) = -0.5x+2
g(x) = 2x-3
It has different values at different points.
The value at which both the functions have same value has to be determined.
To determine that lets equate both the functions
-0.5x +2 = 2x-3
2.5x = 5
x = 2
Therefore the input value that produces the same output value in both charts is 2, Option D is the correct answer.
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