The functions
f(x)=−x
and g(x)=−37x+67
intersect at x = 2.
(1 point)
Responses
True
True
False
3 answers
False
how did you solve this
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.
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.