Questions: Consider the following functions. f(x) = x and g(x) = x Step 1 of 4 : Find (f+g)(-2).

Transcript text: Consider the following functions. \[ f(x)=|x| \text { and } g(x)=x \] Step 1 of 4 : Find $(f+g)(-2)$.

Solution

Step 1: Evaluate $f(x)$

Given $f(x)$, substitute $x = -2$ into $f(x)$ to get $f(-2) = 2$.

Step 2: Evaluate $g(x)$

Similarly, for $g(x)$, substitute $x = -2$ into $g(x)$ to get $g(-2) = -2$.

Step 3: Sum the Results

The sum of $f(x)$ and $g(x)$ evaluated at $x = -2$ is $f(-2) + g(-2) = 2 - 2 = 0$.

$(f+g)(-2) = 0$

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