Question

If f(x) = 3x - 1 and g(x) =x + 2, find (f+g) (x)

Answer 1

(f+g)(x) = 4x + 1.

Explanation:

if f(x) = 3x - 1 and g(x) =x + 2, find (f+g) (x)

To find (f+g)(x), we need to add the functions f(x) and g(x) together.

Given that f(x) = 3x - 1 and g(x) = x + 2, we can add them to find (f+g)(x):

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

Substituting the given functions:

(f+g)(x) = (3x - 1) + (x + 2)

Now, we can simplify the expression by combining like terms:

(f+g)(x) = 3x - 1 + x + 2

Combining like terms, we get:

(f+g)(x) = 4x + 1

Therefore, (f+g)(x) = 4x + 1.

Answer 2

(f + g)(x) = 4x + 1

Explanation:

To find the expression (f + g)(x), we need to first find the sum of the two functions f(x) and g(x).

f(x) + g(x) = (3x - 1) + (x + 2)

= 3x - 1 + x + 2

Combining like terms, we get:

4x + 1

Therefore, (f + g)(x) = 4x + 1.