<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Answer: 5
Step-by-step explanation:
To find the inverse, interchange the variables and solve for
y
.
f
−
1
(
x
)
=
x
4
+
1
2
It’s the second one, here’s how I got the answer to it.
Answer:
Step-by-step explanation:
The expression for the right hand limit of f(x) is:
The expression can be simplified with some algebraic handling:
Let be 
, as 
is approaching zero, 
is positive and becomes bigger, diverging to .
Answer:
Question 7.
2n^3
Question 8.
2(h+3)(2h-1)
Question 9.
(2x+3)(3x-1)
Step-by-step explanation:
i hope this helps :)
