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Question: Find the x-intercept of the graph of y = 4(x - 1) - 2.


A ) log42 + 1
B ) log42 - 1
C ) log24 - 1
D ) log24 + 1

Steps to derive

1 y = 4(x - 1) - 2
 [Given.]

2 To find the x-intercept, solve the equation y = 0.

3 4(x - 1) - 2 = 0

4 4(x - 1) = 2
 [Subtract 2 on both sides of the equation.]

5 x - 1 = log42
 [Express the equation in logarithmic form.]

6 x = log42 + 1
 [Add 1 on both sides of the equation.]

7 So, the x-intercept is log42 + 1.



Hence the right answer is Option A

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