G(x) = 3x
g(x) = 3*( x )
g(f(x)) = 3*( f(x) ) ... every x has been replaced with f(x)
g(f(x)) = 3*( 3x ) ... replace the f(x) on the right side with 3x
g(f(x)) = (3*3)x
g(f(x)) = 9x
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3x and b=5.
(3x+5)(3x−5)
Step-by-step explanation:
In order to get the LCM of two binomial expressions (5x - 9) and (3x + 8), you need to factor first each binomial if factorable.
In this given binomial expression (5x - 9) and (3x + 8), you do not need to factor both because they are not factorable.
Next thing to do is to multiply the two binomial expressions by using FOIL method.
(5x - 9)(3x + 8) = 15x^2 + 40x - 27x - 72 = 15x^2 + 13x - 72
Therefore, the LCM of (5x - 9) and (3x + 8) is 15x^2 + 13x- 72.
For the first one it is 6
second is 7
the third is 1
