Jason and Sheldon are neighbors who work for the same accounting firm. They leave the office at the same time. After t seconds, Jason's distance from the office in meters is given as 4 more than 3 times t, while Sheldon's distance from the office is 6 more than 2 times t. The function that represents the total distance d(t) that Jason and Sheldon cover together in t seconds is given by d(t) =
. In 7 seconds, Jason and Sheldon together cover a distance of
meters.

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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: