(1 point) determine whether the given set is open, connected, and simply connected. for example, if it is open, connected, but not simply connected, type "yyn" standing for "yes, yes, no." a. {(x, y)|x> 1,y< 2} yyy b. {(x, y)|2x2+y2< 1} yyy c. {(x, y)|x2−y2< 1} nyy d. {(x, y)|x2−y2> 1} e. {(x, y)|1

option: d is correct

step-by-step explanation:

step-by-step explanation:

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i think is g(1)=-1.

hope that i can

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: