Question

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

Answer 1

Answer:

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