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Which function represents g(x), a reflection of f(x) =

(10)^x across the x-axis?
g(x) = -2/5(10)^x
g(x) = -2/5(1/10)^x
g(x) =2/5(1/10)^-x
g(x) = 2/5(10)^-x

User StevenWang
by
7.2k points

1 Answer

1 vote

Answer:

Option A.

Explanation:

Note: The given function should be
f(x)=(2)/(5)(10)^x instead of
f(x)=(10)^x.

Consider the given function is


f(x)=(2)/(5)(10)^x

We need to find the function which represents a reflection of f(x) across the x-axis.

If a function f(x) is reflected across the x-axis, then the new function is


g(x)=-f(x)

Using this rule, we get


g(x)=-(2)/(5)(10)^x
[\because f(x)=(2)/(5)(10)^x]

Therefore, the correct option is A.

User Redbmk
by
8.9k points

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