Question

f(x)=5xf(x)=5x and g(x)=x−3g(x)=x−3 Step 1 of 2 : Find the formula for (f+g)(x)(f+g)(x) and simplify your answer. Then find the domain for (f+g)(x)(f+g)(x). Round your answer to two decimal places, if necessary.

Answer 1

`(f+g)(x)=6x-3`

domain is (-∞,∞)

Explanation:

`f(x)=5x`

`g(x)=x-3`

`(f+g)(x)=f(x)+g(x)`

to find f+g(x) we add both function

Substitute f(x) and g(x)

`(f+g)(x)=f(x)+g(x)`

`(f+g)(x)=5x+x-3=6x-3`

`(f+g)(x)=6x-3`

Domain is the set of x values

here there is no restriction for x

so domain is the set of all real numbers

domain is (-∞,∞)