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Function operation I have the answer bad I need to do the process and I don’t know how to do it. The answer is in color red And the question is in color black

Function operation I have the answer bad I need to do the process and I don’t know-example-1
User Jian Zhong
by
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1 Answer

2 votes

g-f((t)/(2))=g((t)/(2))-f((t)/(2))

Then, we need to substitute t=t/2 in the functions:


\begin{gathered} g((t)/(2))=(4t)/(2)+4 \\ g((t)/(2))=2t+4 \\ f((t)/(2))=((t)/(2))^2+2t \\ f((t)/(2))=(t^2)/(4)+t \end{gathered}

Subtracting the functions, would be:


\begin{gathered} (g-f)((t)/(2))=(2t+4)-((t^2)/(4)+t) \\ (g-f)((t)/(2))=2t+4-(t^2)/(4)-t \\ (g-f)((t)/(2))=t+4-(t^2)/(4) \\ To\text{ simplify a little bit, we are going to multiply (t+4) by 4 and divide by 4} \\ (g-f)((t)/(2))=(4t+16-t^2)/(4) \end{gathered}

User Biri
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7.1k points
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