Question 163661
Note: {{{(fog)(x)=f(g(x))}}}



{{{f(x)=1-5x}}} Start with the given function



{{{f(g(x))=1-5(x^2-3)}}} Plug in {{{g(x)=x^2-3}}}. In other words, replace each "x" with {{{x^2-3}}}



{{{f(g(x))=1-5x^2+15}}} Distribute



{{{f(g(x))=-5x^2+16}}} Combine like terms.