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anonymous
 5 years ago
f(x)= 7x+5; g(x)=x^2. Perform function operation of (f+g)(x) and find the domain.
anonymous
 5 years ago
f(x)= 7x+5; g(x)=x^2. Perform function operation of (f+g)(x) and find the domain.

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shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0First off, remember that \((f+g)(x) = f(x) + g(x)\). So what is \(f(x) + g(x)\) above?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0isn't it \[x^{2} +7x+5?\]

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Now, what is the `domain' of a function?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i read its the xvalue.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Right. So is there any value of x for which the equation above doesn't give an answer that makes sense?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0The range is all real numbers unless there is a value of x for which: \[y = x^2 + 7x + 5\] Gives an undefined y.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0(Hint: for this equation, there is no such value  all numbers you plug in for x will give you a y value. So, the domain is all real numbers, or \((\infty, \infty)\).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so its all real numbers? so how do you know when an equation's domain is limited?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Well, take the equation \(y = \sqrt{x}\).

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0If \(x \lt 0\), then the square root is undefined  it produces an imaginary number. So, the domain of the function is any value >= 0.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i get it you can't have negatives in a square root. so its either a whole number or zero right?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0It's either a *positive* whole number or zero. Negatives are also whole numbers.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay i get it finally thanks a bunch!! you've been very helpful. :0]

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0No problem, glad to help!
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