Let f(x)=-5x+3 and g(x)=6x-2. Find f*g and it's domain.

Question

haleyelizabeth2017 · Answer

I'm confused....

jim_thompson5910 · Answer

If you mean f times g (not f compose g), then you have the expression correct

The domain is simply the set of real numbers because you can plug any real number into both f and g, and that applies to (f*g) as well

jim_thompson5910 · Answer

you had the answer assuming it was f times g (not f compose g)

haleyelizabeth2017 · Answer

okay I will show you what it is....

haleyelizabeth2017 · Answer

attachment

jim_thompson5910 · Answer

yeah you got it right

the dot means multiply

jim_thompson5910 · Answer

they'll use an open circle to mean "compose"

haleyelizabeth2017 · Answer

okay :D but I am not sure if they are all real numbers or if they are all real numbers except x=1/3...

jim_thompson5910 · Answer

The domain is simply the set of real numbers because you can plug any real number into both f and g, and that applies to (f*g) as well

jim_thompson5910 · Answer

there are no restrictions to worry about

x = 1/3 works just fine because plugging that into (f*g) results in some real number

haleyelizabeth2017 · Answer

okay.....thank you!

haleyelizabeth2017 · Answer

can you help me with another one? I don't really know where to start on it...

jim_thompson5910 · Answer

sure, one more