If h(x)=3x-5 and g(x) =2x^2-7x, find (g•h)(x)

Correct  (g · h) (x) = 18 x² - 81 x + 85

Step-by-step explanation:

Given:

h(x) = 3 x - 5

g(x) = 2 · x² - 7 x

This is a composition of functions:

(g · h)(x) = g(h(x)) = g(3 x - 5) = 2 · (3 x - 5)² - 7 (3 x - 5) = 2 · (9 x² - 30 x + 25)

(g · h)(x) = 2 · (9 x² - 30 x + 25) - 21 x + 35 = 18 x² - 60 x + 50 - 21 x + 35

(g · h)(x) = 18 x² - 81 x + 85

God is with you!!!

B) Subtract the bottom equation from the top equation

C) Add the equations.

Step-by-step explanation:

We have to eliminate a variable in the system of equations

6x + 5y = 1 (1) and  

6x - 5y = 7 (2)

Since the y-term on both the equations are the same but opposite in sign, therefore the strategy to eliminate y variable from the system of equations (1) and (2) is to add the equations. (Answer)

Again, the x-terms are the same and with a similar sign, therefore, by subtracting the bottom equation from the top equation we can also eliminate the x-variable. (Answer)

Step-by-step explanation: