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Neo, Bachelor's Degree
Category: Pre-Calculus
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Experience:  Tutor
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I'm adding together two functions. I've been given the graph

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I'm adding together two functions. I've been given the graph with both functions on it. I use a table as my method to add the functions. My table looks like
x = 0,1,3
g(x) =3,4,6
f(x)=0,1,3Adding when it'd just be g(x) + f(x) is easy enough because I could simply do 3+0, 4+1 or 6+3. But how do I do it when it's (f+g)(-3)?

Good day!

Solving for (f+g)(-3) requires the original equation.

If x = 0, then f(x) = 0. If x = 1, then, f(x) = 1. This means that the equation is--

f(x) = x

If x = 0, then, g(x) = 3. If x = 1, then, g(x) = 4.

f(x) = x + 3

Now that we have the original equation, you can now solve for (f+g)(-3).

I hope this helps.

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