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AlekseyPX
2 years ago
15

Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restric

tion.
g(f(x))

4 x2 + 1
16 x2 + 3
4 x2 + 7
16 x2 - 8 x + 3
Mathematics
1 answer:
Naya [18.7K]2 years ago
5 0

Answer:

3rd option

Step-by-step explanation:

substitute x = f(x) into g(x)

g(f(x))

= g(x² + 2)

= 4(x² + 2) - 1

= 4x² + 8 - 1

= 4x² + 7

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The perimeter of a rectangle is 72 m. The width of the rectangle is 16 m. What is the area of the rectangle?
liq [111]

Answer:

320m

Step-by-step explanation

a rectangle has four sides, two pairs of identical sides. So two sides are 16. So that adds up to 32. Perimeter is all sides added together. so it has to add up to 72. 72 minus 32 is 40, so two of the sides have to be 40. Area is length times width, so 16 times 20, which is 320.

6 0
3 years ago
Write in standard form<br>(2×10³)+(4×10²)+(4×10¹)+(4×1)<br>can somebody answer this please.<br>c:​
Romashka-Z-Leto [24]

Answer: 2,444

Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!

8 0
2 years ago
(-w^3 + 8w^2 – 3w) + (-8w^2 + w + 3) =
kherson [118]
The expression simplified is -w^3-2w+3

I hope this helped
4 0
3 years ago
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Solnce55 [7]

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \mathbf{y=-\frac{2}{3}x+3 }

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: y=mx+b where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  y=mx+b where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

y=mx+b\\y=-\frac{2}{3}x+3

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \mathbf{y=-\frac{2}{3}x+3 }

5 0
3 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
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