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Tems11 [23]
3 years ago
12

Let f(x) = x^2 - 16. Find f^-1(x)

Mathematics
2 answers:
Naily [24]3 years ago
8 0

The function is not injective, therefore the inverse doesn't exist.

Zepler [3.9K]3 years ago
4 0

For\ x\geq0

f(x)=x^2-16\\\\f^{-1}(x)=?\\\\y=x^2-16\to x=y^2-16\ \ \ \ |+16\\\\x+16=y^2\\\\y^2=x+16\to y=\sqrt{x+16}\ for\ x\geq-16

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Here's a graph of a linear function. Write the
bazaltina [42]

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5 0
3 years ago
The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t
zloy xaker [14]

Answer:

103=  p small

plarge = 123

Step-by-step explanation:

We know that the the ratio of the areas is the scale factor squared/

Larger triangle over smaller triangle

72

----- = scale factor ^2

50

simplify by dividing by 2 on top and bottom

36

----- = scale factor ^2

25

Take the square root of each side

sqrt(36)

-------------- = sqrt(scale factor ^2)

sqrt(25)

6

-------------- = scale factor

5

The ratio of the perimeters is the scale factor

p large             6

-------------- = ----------------

 p small                5

Using cross products

6 p large = 5 p small

We know the sum is 226

p large + p small = 226

p large = 226 - p small

We have 2 equation and 2 unknowns

6 p large = 5 p small

Substitute for p large

6 (226 - p small) = 5 p small

1356 - 6 p small = 5 p small

Add 6 p small to each side

1356 = 11 p small

divide by 11

1356/11 =  p small

P large = 226-1356/11

p large = 2486/11-1356/11

plarge = 1130/11

The solution requires whole number answers so

1356/11 =  p small

123.27 which rounds to 123

plarge = 1130/11

plarge = 102.7272 = 103

6 0
3 years ago
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