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F(x) = x + 7 and g(x) = x - 2, I honestly have no clue where to start im confused

F(x) = x + 7 and g(x) = x - 2, I honestly have no clue where to start im confused-example-1

2 Answers

1 vote

Steps:

So for this question, it asks us for the domain of f(x) ÷ g(x). Set up our function as such:


((f)/(g))(x)=(x+7)/(x-2)

Next, we want to find the discontinuity of this function, or the value(s) in which the function cannot equal to. In this case, we need to find the x value that makes the denominator equal to 0 (as anything divided by 0 is undefined). To find it, set the denominator to 0 and solve as such:


x-2\\eq 0\\x\\eq 2

Answer:

With the information that we have, the answer is
\x\, or the first option.

User Kishidp
by
7.5k points
1 vote

Answer: A) x

Explanation:

Domain is: all the values that x can be. Look for the following restrictions:

  • denominator (bottom) cannot be zero (set denomiantor ≠ zero)
  • square root cannot be negative (set inside of square root ≥ 0)
  • logs must be positive (set log > 0)


(f(x))/(g(x)) = (x+7)/(x-2)

denominator is: x - 2 so set it unequal to zero and solve.

x - 2 ≠ 0

+2 +2

x ≠ 2

User Domfz
by
8.5k points

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