Match each inequality with the correct description. z2 + 3z < 38 (3z)2 ? 38 z2 + 3z ? 38 3z2 ? 38 3z2 ? 38 (3z)2 ? 38 the sum of the square of a number and three times that number is less than 38. the product of 3 and the square of a number is no less than 38. the square of the product of 3 and a number is no more than 38.

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:

is there more to this question?