I guess the reason we use function notation f(x) because it gives us more information about the function. For example, if you have a function : y = 5x + 10, and you have find y values with a long list of x, it's hard to keep track which x you are calculating. In that case, function notation help you a lot. If you have x = 1, you simply write f(1) = 5 x 1 + 10, or x = 10, it will be f(10) = 5 x 10 + 10; so when you look back at the calculation, you will find it easier see all the values.
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An equation where the left is the function of the right. f(x)=x+3 is function notation. The answer is a function of what x is. f(g(x))= the answer the inside function substituted in the outside function.
If 2x + 3y = 4, y= (4 - 2x)/3. In function notation, f(x) = (4 - 2x)/3.
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Euler introduced mathematical notation. He made contributions of complex analysis. He introduced the concept of a function, the use of exponential function, and logarithms in analytic proofs. Euler also produced the formula for the Riemann zeta function.
False. You can only replace it with a number from the domain of the function.