Question

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

Answer 1

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.