In Exercises 15-42, translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if, applicable, compare the argument’s symbolic form to a standard valid or invalid form. (You can ignore difference in past, present, and future tense.) If you tell me what I already understand, you do not enlarge my understanding. If you tell me something that I do not understand, then your remarks are unintelligible to me . ∴ Whatever you tell me does not enlarge my understanding or is unintelligible to me .
In Exercises 15-42, translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if, applicable, compare the argument’s symbolic form to a standard valid or invalid form. (You can ignore difference in past, present, and future tense.) If you tell me what I already understand, you do not enlarge my understanding. If you tell me something that I do not understand, then your remarks are unintelligible to me . ∴ Whatever you tell me does not enlarge my understanding or is unintelligible to me .
Solution Summary: The author explains how to determine whether an argument is valid or invalid. They use a letter to represent each simple statement in the argument.
In Exercises 15-42, translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if, applicable, compare the argument’s symbolic form to a standard valid or invalid form. (You can ignore difference in past, present, and future tense.)
If you tell me what I already understand, you do not enlarge my understanding.
If you tell me something that I do not understand, then your remarks are unintelligible to me
.
∴
Whatever you tell me does not enlarge my understanding or is unintelligible to me
.
2. We want to find the inverse of f(x) = (x+3)²
a. On the graph at right, sketch f(x).
(Hint: use what you know about
transformations!) (2 points)
b. What domain should we choose to
get only the part of f (x) that is one-
to-one and non-decreasing? Give
your answer in inequality notation. (2
points)
-
c. Now use algebra to find f¯¹ (x). (2
points)
-4-
3-
2
1
-4
-3
-2
-1
0
1
-1-
-2-
--3-
-4
-N-
2
3
4
1. Suppose f(x) =
2
4
==
x+3
and g(x) = ½-½. Find and fully simplify ƒ(g(x)). Be sure to show all
x
your work, write neatly so your work is easy to follow, and connect your expressions
with equals signs. (4 points)
Find the ane
sided limit
lim 2
x+1-3x-3
Chapter 3 Solutions
Thinking Mathematically, Books a la Carte Plus MyLab Math -- Access Card Package (7th Edition)
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