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77julia77 [94]
3 years ago
15

F (x) = x - 5. Find f'(x) and its domain.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

Answer:

C

Step-by-step explanation:

f(x) = √x - 5

domain: [0. ∞)

range: [-5, ∞)

Let y = √x - 5

√x = y+5

x = (y+5)²

Switch x and y:

y = (x+5)²

f⁻¹(x) = (x+5)²

domain of f⁻¹(x) is the range of f(x):  [-5,∞)

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Answer:

The option is C i.e 115°, 65°. proof is given below.

Step-by-step explanation:

Given:

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m∠ A = 100 + 5x

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To Prove:

ABCD is a parallelogram if opposing angles are congruent by finding the measures of angles.

m∠ A = m∠ C and

m∠ B = m∠ D

Proof:

ABCD is a quadrilateral and is a parallelogram if opposing angles are congruent.

∴ m∠ A = m∠ C

On substituting the given values we get

∴  100 + 5x  = 106 +3x

∴ 5x-3x=106-100\\\\2x=6\\\\x =\frac{6}{2} \\\\x=3

m∠ A = 100 + 5x = 100 + 5 × 3 =100 + 15 = 115°

m∠ C = 106 + 3x = 106 + 3 ×3 =106 + 9 = 115°

∴  m∠ A = m∠ C = 115°

Similarly,

∴ m∠ B = m∠ D

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∴ m∠ B = m∠ D = 65°

Therefore the option is C i.e 115°, 65°

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