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Ipatiy [6.2K]
2 years ago
13

Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)

Mathematics
2 answers:
pishuonlain [190]2 years ago
7 0

Answer:

23

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x)

f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then

g(7) = 4(7) - 5 = 28 - 5 = 23

miv72 [106K]2 years ago
4 0

\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Name the line of reflection used to map each preimage to its image
rewona [7]

Answer:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

   Therefore, line of reflection will be x = -2

10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

y = x.

11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

Coordinates of B → (5, 3)

Coordinates of B' → (5, 7)

Coordinates of BB' →  → (5, 5)

Therefore, line of reflection will be y = 5.

13). Coordinates of G → (2, 5)

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Step-by-step explanation:

3 0
2 years ago
The functions r and s are defined as follows.
Arlecino [84]

Answer:

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Graph a direct variation function that goes through the point (-2, -6). what is the slope
Effectus [21]

Answer:

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Step-by-step explanation:

A direct variation function will always go through the origin point (0, 0).

Therefore, we have the two points (0, 0) and (-2, -6).

We can use the slope formula to find the slope:

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Substitute and evaluate:

\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3

Therefore, the slope of the function is 3.

To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.

6 0
2 years ago
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