Question

B. two functions are always
equivalent if they
produce the same output for a specific input value.

explain your reasoning.

Answer 1

Two functions are always equivalent if they produce same output for a specific input value.

Consider two functions which produce same output for a specific value.

In general ,let f(x) = a and g(x) = a. But f need not be the same function as g.

Still f and g are said to be equivalent functions.

To make this assertion clear, consider two functions $f(x)=x$ and $g(x)=\frac{x^2}{x}$.

They are equivalent functions. Because the output produced by both functions will be same for a specific input.

For example, f(2) = 2 and g(2) = 2 , f(7) = 7 and g(7) = 7 , etc.

In other way, f(x) is clearly a simplification of g(x) itself. So clearly both the functions will give same output for same input of values.

Hence such functions are always equivalent.

Learn more about equivalent/equal functions at https://brainly.com/question/27178365

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