The ordered pair (-3 ,
) is on g(x) ⇒ 1st answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)
∵ 
∵ f(x) is reflected across the y-axis to create the function g(x)
- Change the sign of x
∴ 
To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it
∵ The coordinates of the point are (-3 ,
)
∴ x = -3 and y = 
- Substitute x by -3 in g(x)
∵ 
∴ 
∴ 
∵ 
∴ 
∴ 
- Divide up and down by 2
∴ 
∵ The value of g(x) equal to the y-coordinate of the point
∴ The point (-3 ,
) lies on g(x)
The ordered pair (-3 ,
) is on g(x)
Learn more:
You can learn more about the reflection in brainly.com/question/5017530
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Answer:
x = 7 m and x = −7 m
Step-by-step explanation:
Its a modulus problem
concept
|x| = x when x>=0
|x| = -x when x < 0
____________________________________
Now given
|x| − 2 = 5
adding 2 both sides
|x| − 2 + 2 = 5 + 2
|x| = 7
now
x = 7 when x >= 0
x = -7 when x<0
Thus, correct answer is x = 7 m and x = −7 m
I^2 = (sqrt-1)^2 then the square cancels out so the answer is just
-1