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

(f+g) (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