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

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

$g(x) = \frac{3}{2}x -2$

We need to do

$f(x)= g(x)$

Substituting the values of the two functions, we will get

$3 = \frac{3}{2}x -2$

Adding 2 to both sides

$5 = \frac{3}{2}x$

Cross multiplication

$10 =3x \\ x = \frac{10}{3}$

$x = 3.3$

So the input value is 3.3 approx

Answer 2

Answer: 3.5 and 10/3

Step-by-step explanation: