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If g(x) = 5x2^2 - 10x + 9 and h(x) = -3x3^3+ 5x - 6, find g(x) - h(x)?
A)
3x3 + 5x2 +15x + 15
3x3 - 5x2 - 15x + 15
C)
-3x3 + 5x2 - 5x + 3
D)
3x3 + 5x2 - 15x + 15

Respuesta :

Answer:

B)[tex]g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15[/tex]

Step-by-step explanation:

Here, the given functions are:

[tex]g(x) = 5x^2- 10x + 9 \\h(x) = -3x^3+ 5x - 6[/tex]

Now, g(x) - h(x) is : 

[tex](5x^2- 10x + 9)  - ( -3x^3+ 5x - 6)\\= 5x^2- 10x + 9 + 3x^3 - 5x + 6\\= 3x ^3 + 5x ^2+  (-10 x - 5 x) + (9 + 6)\\= 3x^3 - 5x^2 - 15x + 15[/tex]

⇒[tex](5x^2- 10x + 9)  - ( -3x^3+ 5x - 6) =  3x^3 - 5x^2 - 15x + 15[/tex]

B) Hence, [tex]g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15[/tex]