Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
The Composite Function:
Given:
[tex]\begin{gathered} f(x)=-2x^2+4x+6 \\ g(x)=2x-3 \end{gathered}[/tex]It's required to find f(g(2)).
The composite function uses one of the functions and gets it inside of the second function, that is, f(g(x)) is the function f evaluated in g.
First, compute g(2):
[tex]\begin{gathered} g(2)=2\cdot2-3 \\ g(2)=4-1 \\ g(2)=1 \end{gathered}[/tex]Now we take this value and substitute it in f(x):
[tex]\begin{gathered} f(g(2))=f(1) \\ f(g(2))=-2\cdot1^2+4\cdot1+6 \end{gathered}[/tex]Calculating:
[tex]\begin{gathered} f(g(2))=-2+4+6 \\ f\mleft(g\mleft(2\mright)\mright)=8 \end{gathered}[/tex]Answer: 8
[tex]undefined[/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
