the quotient of two functions: for f(x)=2x-5, g(x)=5, find f(x)/g(x) & its domain

[verlarianita]

Good morning, I am trying to find the domain of f/g in this problem. I started it off as follow: this is the problem: f(x)=2x-5, g(x)=5. It has three problems to it they are (f+g)(x), (f-g)(x), (fg)(x). What is the domain of f/g?
Here is what I have:
f(x)+g(x)=(2x-5)+5=2x-5+5
f(x)-g(x)=(2x-5)-5=-2x+5-5
f(x)g(x)=(2x-5)(5)=2x-5+25
f(x)/g(x)=2x-5/5
domain=0.5

 

[Deleted member 4993]

Good morning, I am trying to find the domain of f/g in this problem. I started it off as follow: this is the problem: f(x)=2x-5, g(x)=5. It has three problems to it they are (f+g)(x), (f-g)(x), (fg)(x). What is the domain of f/g?
Here is what I have:
f(x)+g(x)=(2x-5)+5=2x-5+5.......................Correct

f(x)-g(x)=(2x-5)-5=-2x+5-5 ......................Incorrect → 2x - 5 -5 = 2x - 10

f(x)g(x)=(2x-5)(5)=2x-5+25 ......................Incorrect → 2*x * 5 - 5*5 = 10x - 25

f(x)/g(x)=2x-5/5 → domain=0.5 ................Incorrect → What is the definition of domain of a function?

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[Otis]

f(x)/g(x) = (2x-5)/5

Hi! When using a keyboard to type rational functions (aka: algebraic fractions), it's very important to type grouping symbols around numerators or denominators that contain multiple terms. Without the grouping symbols shown in red above, the order of operations is different.