If f(x)=2x+3 and g(x)=5x-6, what does f(g(x))= ?

f(g(x) =

put in the function g(x) in for x in the function f(x)

f(g(x) = 2(g(x)) +3

substitute 5x-6 for g(x)

       = 2 (5x-6) +3

distribute

       = 10x -12 +3

combine like terms

       = 10x-9

f(g(x) =  = 10x-9

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