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Lilit [14]
3 years ago
5

Can anyone answer this please

Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:

A) 1

f(g(1)) = 1

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the functions are f(x) and g(x)

f(x) = 3√x +1

and  y = g(x)

put x=1  ⇒ y = g(1) = 0   ( from  graph 1 is mapping '0')

<u><em>Step(ii):-</em></u>

f(g(1) = f(0)

        = 3√0 +1   (∵f(x) = 3√x +1)

       = 1

f(g(1)) =1

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What are the coordinates of the image of vertex G after a reflection across the line y = x?​
Yuliya22 [10]

Answer:

The coordinates of the image of vertex G are (-5, 4)

Step-by-step explanation:

Let us revise some cases of reflection

  • If the point (x, y) reflected across the x-axis , then its image is (x, -y)
  • If the point (x, y) reflected across the y-axis , then its image is (-x, y)
  • If the point (x, y) reflected across the line y = x , then its image is (y, x)
  • If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)

From the given figure

∵ The line of the reflection is y = x

→ That means we will switch the coordinates of the point to find its image

∵ The coordinates of vertex G are (4, -5)

∴ The x-coordinate = 4 and the y-coordinate = -5

→ Switch the two coordinates

∴ The coordinates of its image G' are (-5, 4)

∴ The coordinates of the image of vertex G are (-5, 4)

7 0
3 years ago
Which numbers are written in scientific notation? Check all that apply.
____ [38]

Answer:

2.7 \times 10^{ - 3}

6.1 \times 10^{5}

9.582 \times 10^{6}

Step-by-step explanation:

-

4 0
3 years ago
if the following line segment is reflected across the x-axis what are the coordinates new endpoints A.) (-1,-6) and (-3,-2) B.)
Tasya [4]

Answer:

A.) (-1,-6) and (-3,-2)

Step-by-step explanation:

The given line segment has coordinates

(-1,6) and (-3,2)

The mapping for a reflection in the x-axis is

(x,y)\to (x,-y)

This implies that;

(-1,6)\to (-1,-6)

and

(-3,2)\to (-3,-2)

The correct choice is A.

7 0
3 years ago
the slope of a line passing through h (-2, 5) is -3/4. Which ordered pair represents a point on this line? ​
rosijanka [135]

Answer:

A

Step-by-step explanation:

Calculate the slope of the given points with the point (- 2,  5 )

If the slope is - \frac{3}{4} then the point is on the line

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)

m = \frac{-1-5}{6+2} = \frac{-6}{8} = - \frac{3}{4} ← point (6, - 1) is on the line

Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)

m = \frac{8-5}{2+2} = \frac{3}{4} ← point (2, 8) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)

m = \frac{1-5}{-5+2} = \frac{-4}{-3} = \frac{4}{3} ← point (- 5, 1) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)

m = \frac{1-5}{1+2} = - \frac{4}{3} ← point (1, 1) is not on the line

Thus the point on the line is (6, - 1 ) → A

4 0
3 years ago
Name the ordered pair that is 5 units right and 2 units down from (-3,4)
Lesechka [4]
The answer is (2,2)
5 0
3 years ago
Read 2 more answers
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