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Elan Coil [88]
3 years ago
15

State whether each of the following functions f have a well-defined inverse or not. Recall that a function has an inverse if, fo

r every element in the codomain, there exists exactly one element in the domain that maps to it; that is, the function is onto (surjective) and one-to-one (injective). If it does, provide the inverse function f −1 . If it does not, explain if it violates the onto condition, one-on-one condition, or both, and justify your response. (a) f : R → R, f(x) = 3x−12 (b) f : R → R, f(x) = x 2 +1 (c) f : R → R, f(x) = 3x 3 −12x (d) f : R + → R +, f(x) = √ x+1, where R + denotes the positive reals
Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0

Answer:

a

Step-by-step explanation:

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Think about your previous math courses. Identify one tope that you learned about which
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The graph of f(x)=cos(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 3 and shifting it
tresset_1 [31]

Answer:

g(x) = 3 cos (x+2)

Step-by-step explanation:

To transform functions use the following formula f(x) = a cos b(x -c) + d where:

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3 years ago
"Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral A′B′C′D′. Which transformations could have tak
suter [353]
<span>The quadrilateral ABCD have vertices at points A(-6,4), B(-6,6), C(-2,6) and D(-4,4).
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6 0
3 years ago
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Answer:

Assuming the slide is straight - 12 feet

Step-by-step explanation:

Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.

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2 years ago
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