SOLUTION: what does it mean if f(2)=g(2)

Question 751594: what does it mean if f(2)=g(2)
Answer by RedemptiveMath(80) (Show Source): You can put this solution on YOUR website!
This means that when the values of the inputs of two functions are both 2, then those two functions are equivalent when 2 is the input for both functions. For example, if we have two functions f(x) and g(x) that are written as

f(x) = x^4/8
g(x) = (8+x)/5

then when x=2,

f(x) = (2^4)/8 = 16/8 = 2 = f(2), and
g(x) = (8+2)/5 = 2 = g(2).

Since both functions equal the same number when their inputs equal 2 (x=2), then the values of both functions are equal when their inputs equal 2. This can be written as f(2)=g(2). Notice that the two functions do not have to "look" the same. As long as the values of f(x) and g(x) are equal when their inputs, or x, equal 2, then it can be said that f(2)=g(2).
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