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The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve (f/g)(3), and interpret the answer.
a. 26; the cheetah's rate in miles per hour
b. 26; the number of cheetahs
c. 1/26 ; the cheetah's rate in miles per hour
d. 1/26 ; the number of cheetahs

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Option a. 26; the cheetah's rate in miles per hour is the correct answer.

Step-by-step explanation:

Given

[tex]f(x) = 6x+8\\g(x) = x-2[/tex]

As the function f is in miles and function g is is hours, and we are dividing the function f by function g so the new unit will be:

miles/hour = miles per hour

Now

[tex]\frac{f}{g}(x)= \frac{f(x)}{g(x)}\\\frac{f}{g}(x) = \frac{6x+8}{x-2}[/tex]

We have to find (f/g)(3) so putting 3 in place of x

[tex]\frac{f}{g}(x) = \frac{6(3)+8}{-2}\\= \frac{18+8}{1}\\= 26[/tex]

Hence,

Option a. 26; the cheetah's rate in miles per hour is the correct answer.

Keywords: Functions, function operations

Learn more about functions at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

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SAVAGEQUEEN04

The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve (f/g)(3), and interpret the answer.

Answer:

a. 26; the cheetah's rate in miles per hour

(Took the exam)

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