Question 140861


*[Tex \LARGE (f o g)(x)=f\left(g(x)\right)] Start with the given property


*[Tex \LARGE f\left(g(x)\right)=1-5(x^2-3)] Plug in {{{g(x)=x^2-3}}} into each x of {{{f(x)=1-5x}}}



*[Tex \LARGE f\left(g(x)\right)=1-5x^2+15] Distribute



*[Tex \LARGE f\left(g(x)\right)=-5x^2+16] Combine like terms