Does anyone know the answers? thank you in advance

(mc 02.03) what set of reflections and rotations would carry rectangle abcd onto itself? reflect over the y-axis, reflect over the x-axis, rotate 180° rotate 180°, reflect over the x-axis, reflect over the line y=x reflect over the x-axis, rotate 180°, reflect over the x-axis rotate 180, reflect over the y-axis, reflect over the line y=x

[10 points, algebra 2]according to my answer key the restrictions are -1 and 4. but why not positive 1?

The square root of 9x plus 7 plus the square rot of 2x equall to 7