Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis? g(x) = 5(0.8)^–x g(x) = –5(0.8)^x g(x) = (0.8)^x g(x) = 5(–0.8)^x

The correct option is second.

Explanation:

The given function is,

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

The given given equation can be written as,

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

Because f(x)=y and g(x)=-y.

Therefore the second option is correct and the graph of both function is given below.

B. g(x) = –5(0.8)^x

Step-by-step explanation:

We have the function, .

It is required to reflect the function about x-axis.

Now, as we know,

Reflection across x-axis will flip the graph of the function and the function becomes .

So, the reflection of across x-axis will give the function

So, we see that,

Option B i.e. is correct.

which expression can be used to convert 80 us dollars (usd) to australian dollars (aud)?

1 usd = 1.0343 aud

1 aud = 0.9668 usd

step-by-step explanation:

sorry just need the points

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x