# Chapter 2, Functions - Section 2.7 - Combining Functions - 2.7 Exercises - Page 252: 5

a) domain of both f and g b) domain of both f and g c) domain of both f and g, g(x) is not equal to 0

#### Work Step by Step

a) (f + g)(x) = f(x) + g(x) The domain of (f + g)(x) is the intersection of the domains of f and g b) (fg)(x) = f(x)g(x) The domain of (fg)(x) is the intersection of the domains of f and g c) $(\frac{f}{g})(x) = \frac{f(x)}{g(x)}$ The domain of (fg)(x) is the intersection of the domains of f and g, g(x) cannot be 0

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