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Dominik [7]
3 years ago
15

Let f(x) = 4x2 + 6 and let g(x) = 8x – 6. Find f(g(x)) and g(f(x)).

Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

f(g (x))= 32x-18

g (f (x))=32x2+42

Step-by-step explanation:

f (g (x))= 4 (8x-6)+6

32x-24-6

32x-18

g (f (x))= 8(4x2+6)-6

32x2+48-6

32x2+42

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Write this number in expanded form 5,002,190
Softa [21]
(5 x 10^6)+(2 x 10^3)+(1 x 10^2)+(9 x 10^1)
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3 years ago
Finish the following table for the given function with x as thr independent variable.
konstantin123 [22]
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2 years ago
Read 2 more answers
In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
2 years ago
Determine the number of real solutions of -2x2 + 5x - 3 = 0.
andrew11 [14]

-2x^2 + 5x -3 =0

Find the discriminate:

In the given formula a = -2, b = 5 and c = -3

The discriminate is found using the formula b^2 - 4(ac)

Replace the letters with their values:

5^2 - 4(-2*-3)

25 - 4*6

25-24 = 1

When the discriminate is greater than or equal to 0, there are two real solutions.

The answer is c) 2

4 0
2 years ago
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