Expand & simplify ( 3 x − 2 ) ( 3 x - 2 ) + ( x + 6 ) ( x − 8 )​

x=2,92 or x=_1.51

Step-by-step explanation:

factories out all the brackets first

(3x_3)(3x_2)+(x+6)(x_8)

9x^2_6x_6x+4+x^2_8x+6x_48

add and sutract only like terms

10x^2_14x_44

solve the equation using the quadratic fomula

x =2.91 and x= _1.51

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: