Can someone help me please to see if I did this correctly ?Suppose that the functions t and s are defined for all real numbers x as follows.
s(x)=2x^2
t(x)=x+6
Write the expressions for (t+s)(x) and (t*s)(x) and evaluate (t-s)(3)

(t+s)(x)=2x^2+x+6
(t*s)(x)=12x^2+x
(t-s)(3)= (3+6)-(2(3)^2) then that would equal -9

Question

Can someone help me please to see if I did this correctly ?Suppose that the functions t and s are defined for all real numbers  x as follows.
s(x)=2x^2
t(x)=x+6
Write the expressions for (t+s)(x) and (t*s)(x) and evaluate (t-s)(3)

(t+s)(x)=2x^2+x+6
(t*s)(x)=12x^2+x
(t-s)(3)= (3+6)-(2(3)^2) then that would equal -9

solomonzelman · Answer

Everything is correct.

teller · Answer

It said that (t*s)(x) is incorrect ...

jdoe0001 · Answer

yeap $\large (f\cdot s)(x)\implies (x+6)(2x^2)\to 2x^3+12x^2$

solomonzelman · Answer

Missed that-:(

jdoe0001 · Answer

hmmm rather $\large (t\cdot s)(x)\implies (x+6)(2x^2)\to 2x^3+12x^2$

teller · Answer

so the correct answer would be 2x^3+12x^2?

solomonzelman · Answer

What they have the face for that now, didn't know...

jdoe0001 · Answer

well, yes, you pretty much distribute the $2x^2$

teller · Answer

Thank you.

jdoe0001 · Answer

yw