Question

Determine the input value for which the statement

f(x) = g(x) is true.

From the graph, the input value is approximately .

f(x) = 3 and g(x) = x – 2

3 = x – 2

5 = x

The x-value at which the two functions’ values are equal is .

Answer 1

Answer: 3.5 and 10/3

Explanation:

Answer 2

In this question , we have a graph given, and we have to find the x coordinate of the intersection point .

From the graph , the input value is approximately 3.3 .

In the graph,

`f(x) =3`

And for g(x), we need the slope and y intercept .

Slope is the ratio of rise and run .

Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .

So the equation of g(x) is

`g(x) = (3)/(2)x -2`

We need to do

`f(x)= g(x)`

Substituting the values of the two functions, we will get

`3 = (3)/(2)x -2`

Adding 2 to both sides

`5 = (3)/(2)x`

Cross multiplication

`10 =3x \\ x = (10)/(3)`

`x = 3.3`

So the input value is 3.3 approx