Question

Let f(x)=x + 1 and g(x)=x2-x. Find and simplify the expression.
(f+g)(2)

Answer 1

To simplify (f+g)(2) with given functions f(x)=x+1 and g(x)=x^2-x, calculate the functions' values at x=2 and sum them, resulting in (f+g)(2) = 5.

Step-by-step explanation:

To find and simplify the expression (f+g)(2), you first need to determine the individual functions f(x) and g(x) at the value x = 2, and then sum them.

The function f(x) is given by f(x) = x + 1. At x = 2, f(2) = 2 + 1 = 3.

The function g(x) is given by g(x) = x2 - x. At x = 2, g(2) = 22 - 2 = 4 - 2 = 2.

Adding these two results together, we get (f+g)(2) = f(2) + g(2) = 3 + 2 = 5.

Answer 2

5

Step-by-step explanation:

(f+g)(2) means f(2)+g(2).

f(2) means to evaluate the expression called f at x=2.

So f is x+1 and it wants us to plug in 2 for x.

x+1 with x=2

2+1

3

This means f(2)=3, f(2) has value 3.

g(2) means to evaluate the expression called g at x=2.

So g is x^2-x and it wants us to plug in 2 for x.

x^2-x with x=2

2^2-2

4-2

2

This means g(2)=2, g(2) has value 2.

Let's go back to (f+g)(2).

(f+g)(2)=f(2)+g(2)

(f+g)(2)= 3 + 2 (I replaced f(2) with 3 and g(2) with 2).

(f+g)(2)=5