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loris [4]
3 years ago
12

49 POINTS!!!!!!!! PLZ HELP!

Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

(a) f⁻¹(x) = 2x - 8

(b) f⁻¹(4) = 0

Step-by-step explanation:

This is usually not too difficult if you write the equation as y = f(x), then swap x and y and solve for y.

... y = (1/2)x + 4 . . . . y = f(x)

... x = (1/2)y + 4 . . . . variables swapped

... x - 4 = (1/2)y . . . . . subtract 4

... 2(x -4) = y . . . . . . multiply by 2

... y = 2x - 8 . . . . . . simplify

... f⁻¹(x) = 2x -8

____

Evaluating this for x=4, we get

... f⁻¹(4) = 2·4 - 8 = 0

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D

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If a function has x in the denominator, it cannot be a polynomial.

The rest of the options either don't apply to the equation, or are not rules for polynomials.

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Work out the size of AED. Work out x
Monica [59]

Answer:

a). m∠AED = 70°

b). x = 10°

Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

Sum of either pair of opposite angle is 180°

m(∠AED) + m(∠ABD) = 180°

m(∠AED) = 180° - 110°

m(∠AED) = 70°

Since, ∠AED ≅ ∠EAD

Therefore, m∠AED = m∠EAD = 70°

b). By triangle sum theorem in ΔABD,

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110° + 40° + m∠DAB = 180°

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