Click on the correct answer.
2 answers:
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Answer:
A)
B)
C)
Step-by-step explanation:
So we have the equation:
Let's write this in function notation. Thus:
A)
To flip a function over the x-axis, multiply the function by -1. Thus:
Simplify:
B) To flip a function over the y-axis, change the variable x to -x. Thus:
Simplify:
C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):
Switch:
Subtract 4 from both sides:
Divide both sides by 5:
And we're done :)
Of means multiplication
So
And then simplify the numerator ad denominator
=
And simplify the numerator and denominator again
=
And we are finally left with the answer which is
So
And then simplify the numerator ad denominator
=
And simplify the numerator and denominator again
=
And we are finally left with the answer which is