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3 years ago

What is the answer for this?

Mathematics

2 answers:

julia-pushkina [17]3 years ago

8 0

Answer:

f(g(x)) = x - 39/4
g(f(x)) = x - 39
B. No

Step-by-step explanation:

Given functions:

f(x) = 1/4(x + 13)
g(x) = 4(x - 13)

Simplified f(g(x)) and g(f(x))

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

Checking if f(x) and g(x) are inverse functions:

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 not inverse

Alika [10]3 years ago

3 0

Answer:

is no

Step-by-step explanation:

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Help please and thank you!

Usimov [2.4K]

Answer:

Option A

Explanation:

$\rightarrow \sf sin\left(\dfrac{7\pi }{6}\right)$

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