Which function results after applying the sequence of transformations to f(x) = x^5? reflect across the line y = x and shift up 2 units

Respuesta :

The correct answer is, f(y) = y5 + 2

Solution:

The given function is : f(x)=[tex]x^5[/tex]

When the function is reflected across the line , y=x the function changes to

x = [tex]y^5[/tex]

Suppose point (a,b) lies on the curve.Then

a = [tex]b^5[/tex]

The curve is shifted 2 units up.

It means , x=a, and y =b+2

gives , b= y-2 and x=a

So, the equation of new curve is : [tex]x=(y-2)^5[/tex]



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