Question

Consider the following functions.

Answer 1

The value of $(f+g)(1)$ is 3.

In this question we must apply the definition of addition between functions, whose operation is described below:

$(f+g) (x) = f(x) + g(x)$ (1)

$(x, (f+g)(x)) = (x, f(x))+(x, g(x))$ (1b)

If we know that $(x, f(x) ) = (1,1)$ and $(x,g(x)) = (1,2)$, then the result of the operation is:

$(1, (f+g) (1)) = (1, 3)$

The value of $(f+g)(1)$ is 3.

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