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vfiekz [6]
3 years ago
7

Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of (f − g)(−4)? ...?

Mathematics
1 answer:
MakcuM [25]3 years ago
7 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

f(x) = x2 - 13 
g(x) = x + 5

<span>and are asked to compute "f-g" when x=-4. there are two ways of doing this. you can either first find f(-4) and g(-4) and then substract one from other like so:
</span>
<span>f(−4)=(−4<span>)2</span>−13=16−13=3
</span><span>g(−4)=−4+5=1

</span>f(−4)−g(−4)=3−1=<span>2
</span>
<span>or you can create a new function that represents "f-g", call it "h", and work out h(-4) as follows:
</span>
h(x)=f(x)−g(x)=(<span>x2</span>−13)−(x+5)=<span>x2</span>−13−x−5=<span>x2</span>−x−<span>18
</span><span>h(−4)=(−4<span>)2</span>−(−4)−18=16+4−18=2</span>
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