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.
Answer:
3rd option
Step-by-step explanation:
substitute x = f(x) into g(x)
g(f(x))
= g(x² + 2)
= 4(x² + 2) - 1
= 4x² + 8 - 1
= 4x² + 7
Answer:
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Step-by-step explanation:
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Answer:

Step-by-step explanation:

Step-by-step explanation:
