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1. Determine the inverse of the function:
ℎ(𝑥) =
2x−3
1−x
2. Find the domain of the function:
𝑓(𝑥 ) = 𝑙𝑜𝑔4 (4 − 3𝑥)
3. Determine if the following function is one-to-one (explain your
answer)
F = {(-2, 1), (-5,-1), (3,-5), (1,-2), (0, 5), (-1, 6), (-6, 7), (7,-6)}
4.
Let (𝑥) = √𝑥 − 3 and 𝑔(𝑥) = (𝑥 − 3) 2 , find (𝑔𝑜𝑓)(7)
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Explanation & Answer
Here is my answer :)
1. Determine the inverse of the function:
ℎ(𝑥) =
2x−3
1−x
ℎ(𝑥 ) =
2𝑥 − 3
1−𝑥
We need to clear x:
𝑥=
2𝑦 − 3
1−𝑦
𝑥 (1 − 𝑦) = 2𝑦 − 3
𝑥 − �...
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