Question

Find (f + g)(x) and its domain.

Answer 1

The domain of function( f+ g)(x) ( (-∞,∞))

Explanation:

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

The domain of function (f + g)(x) is (-∞,∞)

Example:-

f(x) = 2 x² + 3x and g(x) = 4x² +3

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

= 2 x² + 3x + 4 x² + 3

= 6x ² + 3 x + 3

The domain of (f + g) (x) is ( -∞,∞))