Let f(x)=2x^2 + 5x – 7 and g(x)=x-1 Perform the function operation and then find the domain.
(f+g)(x)

, domain: all real numbers

Step-by-step explanation:

The two functions that we have in this problem are:

and

Here we have to calculate

(f+g)(x)

Which is equivalent to:

Taking the two functions and substituting into this expression, we find:

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.

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