Question

Which function represents g(x) , a reflection of f(x)= 2/5 (10) x across the x-axis ?

Answer 1

the answer is ............................a

Answer 2

Answer: The correct option is A.

Step-by-step explanation:

The given function is,

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

If a function is reflect across the x-axis, then the x-coordinate remains the same but the sign of y coordinate change.

`(x,y)\rightarrow(x,-y)`

`g(x)=-f(x)`

`g(x)=-(2)/(5)(10)^x`

The graph of f(x) and g(x) in shown in below figure.

Therefore option A is correct.