The function f(x) = 2x + 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the time the flock traveled in hours.

Solve f divided by g of 5, and interpret the answer.

Respuesta :

Answer:

The value of speed is [tex]\frac{2 x + 26}{5}[/tex]   .

Step-by-step explanation:

Given as distance and time as function of x :

The Distance cover by flocks of bird = f(x) = 2 x + 26

The Time traveled by flock of bird = g(x) = x - 1

Now for x = 5 ,  g(5) = 5 - 1 = 4

Let the speed as a function of x  = s(x)

Now, Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]

I.e s(x) =  [tex]\dfrac{\textrm f(x)}{\textrm g(5)}[/tex]

Or, s(x) = [tex]\dfrac{\textrm 2 x + 26}{\textrm g(5)}[/tex]

∴   s(x) = [tex]\frac{2 x + 26}{5}[/tex]

So, while dividing f by g(5) ,  we get speed s(x) = [tex]\frac{2 x + 26}{5}[/tex]

Hence The value of speed is [tex]\frac{2 x + 26}{5}[/tex]   . Answer