Question
True or false? The functions f(x)=x+3 and g(x)=−x+7 intersect at x=2
Answers
Answered by
GPT 3.5
To find out if f(x)=x+3 and g(x)=−x+7 intersect at x=2, we need to substitute 2 into both functions and check if the results are equal.
For f(x)=x+3, substituting x=2 gives us:
f(2) = 2 + 3 = 5
For g(x)=−x+7, substituting x=2 gives us:
g(2) = -2 + 7 = 5
Since f(2) = g(2), the functions f(x)=x+3 and g(x)=−x+7 intersect at x=2. Therefore, the statement is true.
For f(x)=x+3, substituting x=2 gives us:
f(2) = 2 + 3 = 5
For g(x)=−x+7, substituting x=2 gives us:
g(2) = -2 + 7 = 5
Since f(2) = g(2), the functions f(x)=x+3 and g(x)=−x+7 intersect at x=2. Therefore, the statement is true.
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