Question

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

Answer 1

Answer:

$2x^2+6x-8$, domain: all real numbers

Step-by-step explanation:

The two functions that we have in this problem are:

$f(x)=2x^2+5x-7$

and

$g(x)=x-1$

Here we have to calculate

(f+g)(x)

Which is equivalent to:

$(f+g)(x)=f(x)+g(x)$

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

$(f+g)(x)=(2x^2+5x-7)+(x-1)=2x^2+6x-8$

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.