s(x)=2x^2
t(x)=x^3

write the expression (t+s)(x) and (t*s)(x) and evaluate (t-s)(2).

Question

s(x)=2x^2
t(x)=x^3



write the expression (t+s)(x) and (t*s)(x) and evaluate (t-s)(2).

anonymous · Answer

medal and fan

kirbykirby · Answer

$(t+s)(x)=t(x)+s(x)$
$(t*s)(x)=t(x)*s(x)$
$t-s)(2)=t(2)-s(2)$

so for example:
$(t+s)(x)+t(x)+s(x)=(2x^2)+(x^3)=2x^2+x^3$ no other simplification

kirbykirby · Answer

last line should real: $(t+s)(x)\color{red}{=}t(x)+s(x)$

anonymous · Answer

what i don't get what your doing

anonymous · Answer

@satellite73 @Hero @zepdrix

kirbykirby · Answer

$t(x)+s(x)$... since $t(x)=x^3$, and $s(x) = 2x^2$
$t(x) + s(x) = x^3+ 2x^2$

Maybe it's more clear now. I inverted the addition before but it doesn't matter, addition here is commutative :)

anonymous · Answer

so how do I add it into the formula

kirbykirby · Answer

that's all there is to do

kirbykirby · Answer

$(t*s)(x)=t(x)*s(x)=x^3*2x^2$, this you can simplify more using exponent laws:

 $x^a*x^b=x^{a+b}$