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4 years ago

The functions, f and g, are defined below. f(x) = 2x² +5 g(x)=x-3 What is f(g( – 5))

Mathematics

2 answers:

Grace [21]4 years ago

7 0

Answer:

Step-by-step explanation:

nikklg [1K]4 years ago

5 0

Answer:

133

Step-by-step explanation:

Evaluate g(- 5) then substitute the value obtained into f(x)

g(- 5) = - 5 - 3 = - 8, then

f(- 8) = 2(- 8)² + 5 = 2(64) + 5 = 128 + 5 = 133

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Find the coordinates of the image of R (2, 1) after the translation (x, y) → (x, y − 5).

Nikolay [14]

Answer:

(2,-4)

Step-by-step explanation:

We subtract 5 to the y-coordinate, so we have (2,-4)

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3 years ago

M is the midpoint of the segment. Find the length of XM.

Lelechka [254]

Answer:

x=2 and XM=11

Step-by-step explanation:

because M is the midpoint of the line, you know that both XM and ZM are equal and you know an expression for the lengths of both of these.

set these expressions equal and solve:

4x+3=3x+5 so by subtracting the 3x from the right side, moving it over to the left and subtracting 3 from the left side to move it over to the right, you get:

x=2

then to find XM, plug in this value of x to get XM=11

4(2)+3=11

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2 years ago

I need help solving this problem. <img src="https://tex.z-dn.net/?f=4x%20cos%20%5E%7B-1%7D%20%282x%2B4%29-%20%5Csqrt%7B3-3%20x%5

Gnesinka [82]

Given:
$f(x)=4xcos^{-1}(2x+4)-\sqrt{3-3x^2}$

Using
$\frac{d}{dx}cos^{-1}(x)=-\frac{1}{\sqrt{1-x^2}}$
we derive
$\frac{d}{dx}4xcos^{-1}(2x+4)$
$=4cos^{-1}(2x+4)-\frac{8x}{\sqrt{1-(2x+4)^2}}$

Similarly, using
$\frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}$
we derive
$\frac{d}{dx}(-\sqrt{3-3x^2})$
$=\frac{3x}{\sqrt{3-3x^2}}$

Therefore, the derivative is
$f'(x)=\frac{d}{dx}(4xcos^{-1}(2x+4)-\sqrt{3-3x^2})$
$=4cos^{-1}(2x+4)-\frac{8x}{\sqrt{1-(2x+4)^2}}+\frac{3x}{\sqrt{3-3x^2}}$

3 0

3 years ago

Read 2 more answers

Natasha is 12 years old. Her teacher is 36 years old. Which ratio represents Natasha's age in 4 years to her teacher's age in 4

Ainat [17]

Answer:

I’m pretty sure it’s 1:3

Step-by-step explanation:

5 0

3 years ago

Which expression will help find the volume of the figure?

mr Goodwill [35]

Answer:

D. 1x9x4

Step-by-step explanation:

V= l x w x h

7 0

3 years ago