The function h(x) shown is the result of adding two functions, f(x) and g(x). Which statement could be used to describe the functions? Both original functions have a domain of (−[infinity], [infinity]). Both original functions have a domain of [−[infinity], 2). The domain of f(x) is [2, [infinity]), while the domain of g(x) is (−[infinity], 2]. The domain of f(x) is (−[infinity], 2], while the domain of g(x) is [2, [infinity]).

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step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal

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