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anonymous
 one year ago
Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:
f(x) = 6x + 12
g(x) = x − 8
anonymous
 one year ago
Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below: f(x) = 6x + 12 g(x) = x − 8

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2First, find g(6). Then use that value in function f.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2What is function g evaluated at x = 6? g(x) = x  8 g(6) = 6  8 g(6) = ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So , the answer would be 0 because 6(2)+12=0 Right ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much ! Can I ask another one ?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2f(g(x)) = f(x  8) = 6(x  8) + 12 f(g(2)) = 6(2  8) + 12 = 6(6) + 12 = 12 + 12 = 0

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You're welcome. Yes, go ahead.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below: f(x) = 4x − 4 g(x) = x − 1

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\dfrac{f}{g}(x) = \dfrac{f(x)}{g(x)} = \dfrac{4x  4}{x  1} = \dfrac{4(x  1)}{x  1} = 4\) Since \(\dfrac{f}{g}(x) = 4\), no matter what x is, \(\dfrac{f}{g}(4) = 4\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So technically x=4 ?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No. In this problem, you were asked to find the value of the quotient of the functions at x = 4. For any value of x, the value of the quotient of the functions is 4, with only one exception, which is at x = 1. This division of functions is undefined at x = 1 because it involves division by zero. For all other values of x, the division of these two functions is 4.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 factored a 4 out and was able to cancel x1 so we don't have to evaluate when x = 4 anymore we just have 4

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437445518445:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So after you distribute for f(x) and figure out g(x) the answer will be 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0& of course after you divide both solutions.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0the question asked to find f/g (4) which means finding f(x)  g(x) first which is 4x4  x1 since we can factor a 4 out of the numerator the x1 is present in the numerator and the denominator so that's canceled out. So, we're just left with a 4. Since there is no variable attached to the 4, that's the answer if we had 4x. Then we have to evaluate when x = 4.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0yes the answer is just 4
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