Answer:
[tex]g(x)=x^2+7 x+12[/tex]
Step-by-step explanation:
since f(x)=[tex]x^{2}+3 x+2[/tex]
now we are given that this function f(X) is shifted 2 units to the left and we get a function g(x) this means
g(x)=f(x+2) since f(x+2) will shift the function f(x) 2 units to the left.
[tex]g(x)=(x+2)^{2}+3(x+2)+12[/tex]
g(x)=[tex]x^2+4+4 x+3 x+6+2[/tex]
hence, the function g(x)=[tex]x^2+7 x+12[/tex]
