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bezimeni [28]
2 years ago
15

Given: f(x) = 4x+1 and g(x)= x2+1, find (f g)x.

Mathematics
1 answer:
Marina CMI [18]2 years ago
7 0

Answer:

given

fx = 4x+1

gx= 2x+1

Step-by-step explanation:

fg x = ?

we know ,

f g x = (4x+1) ( 2x+1)

= 4x ( 2x+1) +1 (2x+1)

= 8x² +4x +2x+1

= 8x² + 6x +1

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Here, we are required to determine the equation of the line u which is perpendicular to the line t and passes through the point (8,8).

The equation of the line u is;. y = (-x/4) + 10.

First, the product of the slope of 2 perpendicular lines is negative 1 i.e -1.

M1 × M2 = -1

From observation, the slope of line t given by y = 4x - 8 is equal to 4.

  • Therefore, since M1 = 4,
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To get the equation of a line,

Slope, M2 = (y - y1)/(x - x1)

where M2 = -1/4 , y1 = 8 and x1 = 8.

Therefore, -1/4 = (y - 8)/(x - 8).

Therefore, -x + 8 = 4y -32

Therefore, 4y = -x + 40.

Ultimately, the equation of the line u is ;

y = (-x/4) + 10.

Read more:

brainly.com/question/19506739

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3 years ago
The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
DanielleElmas [232]

Answer:

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Step-by-step explanation:

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f(x)=x^2-3x-4

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the point (1.5,-6.25)

we know that

The function is decreasing in the interval ----> (-∞,1.5)  x < 1.5

That means----> the function is decreasing for all real values of x less than 1.5

The function is increasing in the interval ----> (1.5,∞)  x> 1.5

That means----> the function is increasing for all real values of x greater than 1.5

see the attached figure to better understand the problem

therefore

The statement that is true is

The function is decreasing for all real values of x where x < 1.5.

5 0
4 years ago
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You would use "cups"
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I NEED HELP ASAP PLEASE!!!
julsineya [31]
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3 years ago
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kogti [31]

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