If f(x) = x2 + 1 g(x) = 5 - x. (f + g)(x) = ?

Solution:

Given, functions are f(x) = x2 + 1

g(x) = 5 - x

We have to find (f + g)(x).

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

= x2 + 1 + 5 - x

On rearranging,

(f + g)(x) = x2 - x + (5 + 1)

= x2 - x + 6.

Therefore, (f + g)(x) = x2 - x + 6.

Example:

If f(x) = 3x2 + 1 g(x) = 15 - x. (f + g)(x) =?

Solution:

Given, f(x) = 3x2 + 1

g(x) = 15 - x

We have to find (f + g)(x).

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

= 3x2 + 1 + 15 - x

On rearranging,

(f + g)(x) = 3x2 - x + (15 + 1)

= 3x2 - x + 16.

Therefore, (f+g)(x) = 3x2 - x + 16.

If f(x) = x2 + 1 g(x) = 5 - x. (f + g)(x) = ?

Summary:

If f(x) = x2 + 1 g(x) = 5 - x. (f + g)(x) = x2 - x + 6.

Math worksheets and
visual curriculum