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3 years ago

Given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

4 0

Answer: $f(g(x))=2x^2+16x+29$

Step-by-step explanation:

$f(x)=2x^2-3\\g(x)=x+4$

f of g of x means "function f, replace x by the value of g of x"

$f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29$

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finlep [7]

Firstly, we will draw figure

now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle

because of opposite sides of rectangle ABMD are congruent

so,

DM=AB=9

CM=CD-DM

CM=18-9

CM=9

now, we can find BM by using Pythagoras theorem

$BM=\sqrt{BC^2-CM^2}$

now, we can plug values

we get

$BM=\sqrt{15^2-9^2}$

$BM=12$

now, we can find area of trapezium

$A=\frac{1}{2} (AB+CD)*(BM)$

now, we can plug values

and we get

$A=\frac{1}{2} (9+18)*(12)$

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3 years ago

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Nana76 [90]

Answer:

x = 3 - 3/2y

y = 2 - 2/3x

Step-by-step explanation:

2x + 3y = 6

2x = 6 - 3y

x = 3 - 3/2y

2x + 3y = 6

3y = 6 - 2x

y = 2 - 2/3x

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3 years ago

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The value of 12pi over 10pi times 5pi Over 6pi is closest to the whole number (blank). Find the blank

lisov135 [29]

Given:

The expression is

$\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}$

To find:

The value of the given expression closest to the whole number.

Solution:

We have,

$\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}$

Cancel out the common factors from each fraction.

$=\dfrac{6}{5}\times \dfrac{5}{6}$

$=\dfrac{6\times 5}{5\times 6}$

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Therefore, the value of the given expression is 1.

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2 years ago

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ICE Princess25 [194]

$\: \: \: \frac{9}{12} \\ = \frac{3 \times 3}{3 \times 4} \\ = \frac{3}{4} \\ = \frac{3}{4} \times 1 \\ = \frac{3}{4} \times \frac{2}{2} \\ = \frac{6}{8} = \frac{3}{4}.$

So, Option C is the correct answer.

Hope this will help you.

If you like my answer. Please mark it as brainliest And Be my follower if possible.

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