Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Let f(x) = 3x – 3 and g(x) = x + 5. Find f(g(x)) and g(f(x)).

Sagot :

given data:

[tex]\begin{gathered} f\mleft(x\mright)=3x-3 \\ g\mleft(x\mright)=x+5 \end{gathered}[/tex]

to find:

[tex]f\mleft(g\mleft(x\mright)\mright)\text{ and }g\mleft(f\mleft(x\mright)\mright)[/tex][tex]\begin{gathered} g(x)=x+5 \\ =f(x+5) \\ =3(x+5)-3 \\ =3x+12 \end{gathered}[/tex][tex]\begin{gathered} f(x)=3x-3 \\ =g(3x-3) \\ =(3x-3)+5 \\ =3x+2 \end{gathered}[/tex]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.