The resulting function will have a function f(x) = √x-3 -1
<h3>Translation of coordinates</h3>
Translations is a transformation technique that changes the position of an object from one point on the plane to another.
Given the function below
y = √x
If the translated technique below is applied (x,y) -> (x-3,y +1), the resulting function is given as:
y+1 = √x-3
Subtract 1 from both sides
y + 1 - 1 = √x-3 - 1
y = √x-3 -1
Hence the resulting function will have a function f(x) = √x-3 -1
Learn more on translation here: brainly.com/question/12861087
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Here, we are to solve for the value of x in the given euation;
2/(3x-9) = 6
We can solve this by making a cross multiplication
2/(3x-9) = 6/1
The cross-multiplication would yield;
2 * 1 = 6 * (3x-9)
2 = 6(3x-9)
opening the bracket, we have
2 = 18x - 54
Collect like terms;
54 + 2 = 18x
18x = 56
divide both sides by 18
18x/18 = 56/18
x = 28/9
x = 3 1/9
y - 3x = 7
can be written as
y = 3x + 7
For every value of x there is a unique value of y. For example when x = 0 y = 3(0) + 7 = 7
Yes it is a function.
In particular it is a one-to-one function.
Step-by-step explanation:
k² + 5k + 13 = 0
Using the quadratic formula which is
From the question
a = 1 , b = 5 , c = 13
So we have
<u>Separate the solutions</u>
The equation has complex roots
<u>Separate the real and imaginary parts</u>
We have the final answer as
Hope this helps you
