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Crank
3 years ago
9

The graph of the function f(x) = 5 cos (2x) is a reflection over the x-axis of the graph of g(x) =

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

g(x)=-5\cos (2x)

Step-by-step explanation:

The given function is

f(x)=5\cos (2x)

If a function reflected over the x-axis, then x-coordinate remains same but the sign of y-coordinate is changed.

P(x,y)\Rightarrow P'(x,-y)

If function f(x) is a reflection over the x-axis to get the of g(x), then the resultant function is

g(x)=-f(x)

Substituting the value of function f(x), we get

g(x)=-5\cos (2x)

Therefore, the required function is g(x)=-5\cos (2x).

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