How do the average rates of change for the pair of functions compare over the given interval?
f(x)=0.9x^2
g(x)=3.6x^2
4 is less than or equal to x is less than or equals 7
The average rate of change of f(x) over 4 is less than or equal to x is less than or equals 7 is ?
The average rate of change of g(x) over 4 is less than or equal to x is less than or equals 7 is ?
The average rate of change of g(x) is ? times that of f(x)

lo98765432wqasdfghjkloi87654567890

step-by-step explanation:

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:

he answer is x=1x3 because x=1 to x=3

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