What is the input value for which g(x) = 3 khan academy

x = 9

Step-by-step explanation:

If g(x) = 3, that means that the output is three.

Outputs are y values.

Look at the graph. When y=3, the x  = 9.

So the input value for which g(x) = 3 (aka that gives the output y = 3) is x = 9

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:

60: 45 =12: 9 =4: 3 so the answer is 4: 3