Let g(x) be the reflection across the y-axis of the function f(x) = 5x + 8. identify the rule for g(x).

a: g(x) = 5x − 8
b: g(x) = −5x + 8
c: g(x) = −5x − 8
d: g(x) = 5x + 8

Option B:  g(x) = −5x + 8

Step-by-step explanation:

If we have a function f(x) and wish to make a function g (x) that is equal to the reflection of the function f(x) on the y-axis, then we must make the following transformation to f(x):

In this case:

.

So when applying the transformation we obtain:

Finally we have that

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0