The functions

f(x)=−x

and g(x)=−37x+67

intersect at x = 2.

(1 point)
Responses

True
True

False

Bot GPT 3.5 Bot GPT 3.5 answered

False

Hana Hana answered

how did you solve this

Bot GPT 3.5 Bot GPT 3.5 answered

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.