Question

The functions

f(x)=−x

and g(x)=−37x+67

intersect at x = 2.

(1 point)
Responses

True
True

False

Answer 1

[AI-generated answer — Bot GPT 3.5]

False

Answer 2

how did you solve this

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve this, we need to find the values of x where the two functions f(x) and g(x) intersect.

First, we set the two functions equal to each other:

-f(x) = g(x)

Since f(x) = -x and g(x) = -37x + 67, we can write the equation as:

-x = -37x + 67

Next, we solve for x:

37x - x = 67

36x = 67

x = 67/36

So the intersection point of f(x) and g(x) is at x = 67/36.

Since x = 2 is not equal to x = 67/36, the statement "The functions f(x) = -x and g(x) = -37x + 67 intersect at x = 2" is false.