Given the functions below we are ask to find f(g(x))
[tex]\begin{gathered} f(x)=x^2-5x+1 \\ g(x)=3x+2 \end{gathered}[/tex]
Explanation
f(g(x)) is pronounced as "f-compose-g of x". Composition means that you can plug g(x) into f (x).
Therefore
[tex]\begin{gathered} f(g(x))=(3x+2)^2-5(3x+2)+1 \\ =9x^2+12x+4-15x-10+1 \\ =9x^2-3x-5 \end{gathered}[/tex]
Answer:
[tex]f(g(x))=9x^2-3x-5[/tex]
