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- anonymous

Let f(x) = (x^2 + 3x – 4) and g(x) = (x + 4).
a. Find f • g and state the domain.
b. Find f/g and state the domain.

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- anonymous

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- anonymous

So I know I start by multiplying (x^2+3x-4)(x+4)... I get x^3+7x^2+8x-16 what now?

- anonymous

f • g=x^3+4x^2+3x^2+12x-4x-16=x^3+7x^2+8x-16 the domain means what values can x get, here, x can be any real number. so the domain is all numbers.

- anonymous

How do I know it is all numbers and there isn't like one number that doesn't work? Is there a way to check that?

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- anonymous

f/g=(x^2 + 3x – 4)/(x+4) as we know, the denominator can't be equal to 0, so x+4 can't be equal to 0, that means, x can be any number but -4

- anonymous

if there is a square root or a denominator, you must consider that denominator can't be 0 and the expression in the square root is >=0

- anonymous

Wait so what is f/g?

- anonymous

the domain of f/g is any real number but -4

- anonymous

Yeah, that's the domain, but it says find f/g and then it says also find the domain, I thought that that means I need two answers there?

- anonymous

f/g=(x^2 + 3x – 4)/(x+4)

- anonymous

wait, what would be the steps to find that the domain of f/g is all but -4?

- anonymous

is it like x+4>=0 then subtract 4 from both sides so you have x>=-4?

- anonymous

thanks!

- anonymous

|dw:1356492631732:dw| now what @Hero

- anonymous

Oh yeah, I knew that xD thanks! so it's x-1?

- anonymous

And i'm done now?

- anonymous

Thanks to both of you!

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