What is the answer for this?
2 answers:
Answer:
f(g(x)) = x - 39/4 g(f(x)) = x - 39 B. No Step-by-step explanation:
<u>Given functions:</u>
f(x) = 1/4(x + 13) g(x) = 4(x - 13) <u>Simplified f(g(x)) and g(f(x))</u>
f(g(x)) = 1/4(4(x - 13) + 13) = x - 13 + 13/4 = x - 39/4 g(f(x)) = 4(1/4(x + 13) - 13) = x + 13 - 4*13 = x - 39 <u>Checking if f(x) and g(x) are inverse functions:</u>
f(x) = 1/4(x + 13), substituting f(x) and x, with x and g(x) x = 1/4(g(x) + 13) 4x = g(x) + 13/4 g(x) = 4x - 13/4 As we see g(x) is different from the given, so the functions are <u>not </u>inverse
Answer:
is no
Step-by-step explanation:
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