Question

Let f(x)=3x+2 and g(x)=7x+6. Find f*g and its domain.

Answer 1

is it\[(g\times f)(x)\]or\[(g\circ f)(x)\]?

Answer 2

it is gxf

Answer 3

\[(f\times g)(x)= f(x)\times g(x) = (3x+2)\times(7x+6)\]

Answer 4

I got 21x^2 +18x+26

Answer 5

\[(f\times g)(x)\\= f(x)\times g(x) \\
= (3x+2)\times(7x+6)\\
= 21x^2+18x+14x+12\\
=\]

Answer 6

oh yeah, my silly mistake so it should be 21x^2+32x+26 right?

Answer 7

almost

Answer 8

oh 26 should be 12

Answer 9

yeah

Answer 10

sorry, im just kind of brain dead

Answer 11

so how do we find the domain?

Answer 12

what kind of curve does

y(x) = 21x^2+32x+12

look like?

Answer 13

i have no idea

Answer 14

the parent function is
y(x) = x^2

Answer 15

still don't know

Answer 16

parabola

Answer 17

oh!

Answer 18

Which of these curves do you think will be the general shape of our curve?