The domain of a composite function (fog)(x) is the set of those inputs x in the domain of g for which g(x) is in the domain of f. True

False

True

Step-by-step explanation:

The domain of fog is the set of all x in the domain of g such that g(x) is in the domain off. In other words, the outputs to g must be inputs to f. Examples: 1. Let f(x) = x2 + x – 6 and g(x) = x2 – 4 and find fog and go f and their domains.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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step-by-step explanation: