SOLUTION: find the domain of the indicated combined funtion: find the domain of (f+g)(x) when f(x)=8-7x and g(x)=-5x+5. so far i got: f(x)+g(x) (8-7x)+(-5x+5) 13+ -12x

Question 103917: find the domain of the indicated combined funtion:
find the domain of (f+g)(x) when f(x)=8-7x and g(x)=-5x+5.
so far i got:
f(x)+g(x)
(8-7x)+(-5x+5)
13+ -12x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given combination

Break up the combination

Plug in and

Group like terms

Combine like terms

So

Notice the domain of both f(x) and g(x) is: x is the element of all real numbers (ie x can be any number for both of them). So the domain for is the same as the two functions f and g
RELATED QUESTIONS
Find the domain of the indicated combined function. Find the domain of (f + g)(x) when (answered by MathLover1)

Find the domain of (f/g)(x) when f(x)=2x^2-5x and... (answered by stanbon)

Consider the following functions. f(x) = x^2 + 5x, g(x) = 7x^2 − 1 Find (f +... (answered by harpazo)

given the function g(v)=3v+4, find g(5), g(-7), and g(6.7). find the slope of (5,3) and... (answered by nyc_function)

Find f(g(x)) and g(f(x)). State the domain of each. f(x)= 7x+8; g(x)=... (answered by Alex.33)

========================================================================================== (answered by MathLover1)

3.21 Find f+g, f-g and f/g. Determine the domain for each function. f(x)=4x+8,... (answered by fractalier)

3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)

Find the domain of... (answered by Nfrey78)