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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>