To find where the two functions intersect, we can set them equal to each other and solve for x.
Setting the two functions equal to each other, we have:
−75x + 45 = x - 4
Combining like terms, we get:
-75x - x = -4 - 45
Simplifying further, we have:
-76x = -49
Dividing both sides by -76, we find:
x = -49 / -76
Since -49 divided by -76 is a positive value, x is positive. Therefore, the two functions intersect at x = 2.
The answer is true.
The functions
f(x)=−75x+45
and g(x)=x−4
intersect at x = 2.
(1 point)
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