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Helen [10]
3 years ago
13

Derive the inverse of the function, f-1 of f(x) = 7x+2

Mathematics
1 answer:
Georgia [21]3 years ago
7 0
Replace f(x) with y
switch x and y
solve for y
replace y with f^-1

so

y=7x+2
x=7y+2
x-2=7y
(x-2)/7=y
f^-1=(x-2)/7

inverse is
f^{-1}= \frac{x-2}{7}
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34 in.
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Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = \sqrt{1156-256}

     = \sqrt{900}

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

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Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                                           = \frac{1}{2}(30)(16)

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Total surface area = 1760 + 2(240)

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Volume = Area of the triangular base × Height

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2 years ago
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