A5-A7 Flashcards

1
Q

Adding functions looks like …

A

(f + g)(x) = f(x) + g(x)

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2
Q

Subtracting functions looks like …

A

(f - g)(x) = f(x) - g(x)

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3
Q

Multiplying functions looks like …

A

(fg)(x) = f(x) * g(x)

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4
Q

Dividing functions looks like …

A

(f/g)(x) = f(x)/g(x) where g(x) ≠ 0

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5
Q

(f∘g)(x) or …

A

f(g(x))

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6
Q

The inverse of f(x) is …

A

f^-1(x)

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7
Q

You find the inverse of an equation by …

A

Switching x and y, solve

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8
Q

Not all functions have inverses, an example of this is …

A

y = ±√x, it’s not a function so it has no inverse

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9
Q

A one-to-one function is …

A

A function that for every y has only one x

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10
Q

A one-to-one function on a graph must …

A

Pass both the VLT AND HLT

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11
Q

Domain of h(x) : [-5,2]
Range of h^-1(x) : …

A

[-5,2]

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12
Q

Range of h(x) : [-3,5]
Domain of h^-1(x) : …

A

[-3,5]

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13
Q

The inverse of (x,y) is …

A

(y,x)

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