5 1/10-1 7/10=A.3 3/5B.6 4/5C.3 2/5D. 3 3/10
1 answer:
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Answer:
g(x) = log(x+1) + 4
Step-by-step explanation:
If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).
The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.
Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.
Let 
. Then 
. By convention, every non-zero integer 
divides 0, so 
.
Suppose this relation holds for
, i.e. 
. We then hope to show it must also hold for 
.
You have
We assumed that, and it's clear that 
because 
is a multiple of 3. This means the remainder upon divides 
must be 0, and therefore the relation holds for . This proves the statement.
Suppose this relation holds for
You have
We assumed that