anonymous
  • anonymous
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
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
First, find g(6). Then use that value in function f.
mathstudent55
  • mathstudent55
What is function g evaluated at x = 6? g(x) = x - 8 g(6) = 6 - 8 g(6) = ?
anonymous
  • anonymous
-2 ?

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More answers

anonymous
  • anonymous
So , the answer would be 0 because 6(-2)+12=0 Right ?
mathstudent55
  • mathstudent55
Correct.
anonymous
  • anonymous
Thank you so much ! Can I ask another one ?
mathstudent55
  • mathstudent55
f(g(x)) = f(x - 8) = 6(x - 8) + 12 f(g(2)) = 6(2 - 8) + 12 = 6(-6) + 12 = -12 + 12 = 0
mathstudent55
  • mathstudent55
You're welcome. Yes, go ahead.
anonymous
  • anonymous
Given 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
  • mathstudent55
\(\dfrac{f}{g}(x) = \dfrac{f(x)}{g(x)} = \dfrac{4x - 4}{x - 1} = \dfrac{4(x - 1)}{x - 1} = 4\) Since \(\dfrac{f}{g}(x) = 4\), no matter what x is, \(\dfrac{f}{g}(-4) = 4\)
anonymous
  • anonymous
So technically x=4 ?
mathstudent55
  • mathstudent55
No. 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
  • UsukiDoll
@mathstudent55 factored a 4 out and was able to cancel x-1 so we don't have to evaluate when x = -4 anymore we just have 4
UsukiDoll
  • UsukiDoll
|dw:1437445518445:dw|
anonymous
  • anonymous
So after you distribute for f(x) and figure out g(x) the answer will be 4
anonymous
  • anonymous
& of course after you divide both solutions.
UsukiDoll
  • UsukiDoll
the question asked to find f/g (-4) which means finding f(x) ---- g(x) first which is 4x-4 ---------- x-1 since we can factor a 4 out of the numerator the x-1 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
  • UsukiDoll
yes the answer is just 4
anonymous
  • anonymous
Thaaankkk yooouuu !

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