Answer:
(3,5)
Step-by-step explanation:
[tex]R_{x=1}(P)[/tex] means reflection of point P across the line x = 1.
This reflection has the rule
[tex](x,y)\rightarrow (2-x,y)[/tex]
(all points reflected across the line x = 1 have the same y-coordinate as its preimage and x = 1 is the midpoint between the endpoints with preimage and image x-coordinates, so [tex]\dfrac{x+x'}{2}=1\Rightarrow x'=2-x[/tex])
Hence,
[tex]P(-1,5)\rightarrow P'(3,5)[/tex]
and the image of the point P has the coordinates (3,5).
