Question 1085626


 Given {{{ f(x)=5x^2-4}}} and {{{g(x)=6-(1/2)x^2}}}. 

Find the following expressions.
a)
{{{ (f*g)(4)=(5x^2-4)(6-(1/2)x^2)=(5*4^2-4)(6-(1/2)4^2)=(5*16-4)(6-(1/2)16)=(80-4)(6-8)=76*(-2)=-152}}}

b)
{{{(g*f)(2)=(6-(1/2)x^2)(5*x^2-4)=(6-(1/2)2^2)(5*2^2-4)=(6-(1/2)4)(5*4-4)=(6-2)(20-4)=4*16=64}}}

c)

{{{(f*f)(1)=(5x^2-4)(5x^2-4)=(5*1^2-4)(5*1^2-4)=(5-4)(5-4)=1*1=1}}}


d)
{{{(g*g)(0)=(6-(1/2)x^2)(6-(1/2)x^2)=(6-(1/2)0^2)(6-(1/2)0^2)=6*6=36}}}