Question

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

Answer 1

Answer:

Option A.

Step-by-step explanation:

Note: The given function should be $f(x)=\dfrac{2}{5}(10)^x$ instead of $f(x)=(10)^x$.

Consider the given function is  

$f(x)=\dfrac{2}{5}(10)^x$

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

$g(x)=-\dfrac{2}{5}(10)^x$        $[\because f(x)=\dfrac{2}{5}(10)^x]$

Therefore, the correct option is A.