Let:
[tex]f(x)=x^2-5[/tex]
and
[tex]g(x)=-3x+2[/tex]
then the compositive f(g(x)) would be:
[tex]f(g(x))=f(-3x+2)=(-3x+2)^2-5[/tex]
this is equivalent to:
[tex]f(g(x))=f(-3x+2)=((-3x)^2-2(6x)+4)^{}-5[/tex]
this is equivalent to
[tex]f(g(x))=f(-3x+2)=9x^2-12x+4^{}-5\text{ = }9x^2-12x\text{ -1}[/tex]
then the correct answer is the last one, that is:
[tex]f(g(x))\text{= }9x^2-12x\text{ -1}[/tex]
