Answer:
[tex]2x^2+6x-8[/tex], domain: all real numbers
Step-by-step explanation:
The two functions that we have in this problem are:
[tex]f(x)=2x^2+5x-7[/tex]
and
[tex]g(x)=x-1[/tex]
Here we have to calculate
(f+g)(x)
Which is equivalent to:
[tex](f+g)(x)=f(x)+g(x)[/tex]
Taking the two functions and substituting into this expression, we find:
[tex](f+g)(x)=(2x^2+5x-7)+(x-1)=2x^2+6x-8[/tex]
We also have to find the domain of the new function. However, we notice that there are no restrictions on the value of x, since this is a second-order function with no denominators, logarithms or roots: therefore, the domain is all real numbers.
