Riley and joshua work at a furniture store. riley is paid $230 per week plus 5% of her total sales in dollars, x x, which can be represented by g ( x ) = 230 + 0.05 x g(x)=230+0.05x. joshua is paid $345 per week plus 4% of his total sales in dollars, x x, which can be represented by f ( x ) = 345 + 0.04 x f(x)=345+0.04x. determine the value of x x, in dollars, that will make their weekly pay the same.

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: