Let f(x) = 2x2 + x − 3 and g(x) = x − 1. find f(x)/g(x) and state its domain

We have 2x^2 + x - 3 = 2x^2 - 2x + 3x - 3 = 2x ( x - 1 ) - 3( x - 1 ) = ( x - 1 )( 2x - 3 );

But g(x) is not 0; then, x is not 1;

The domain is R - {1} ;

f(x) / g(x) = ( x - 1 )( 2x - 3 ) / (x - 1 ) = 2x - 3;

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl