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Given [tex]f(x)=9x^2+7x[/tex] and [tex]g(x)=2-x[/tex], determine [tex]5g(x)-f(x)[/tex]
A. [tex]45^2+36x-2[/tex]
B. [tex]45x^2+6x-5[/tex]
C. [tex]9x+6x+2[/tex]
D. [tex]-9x-12x+10[/tex]

Sagot :

Upendo

f(x) = 9x² + 7x

g(x) = 2 - x

= 5g(x) - f(x)

= 5(2-x) - (9x² + 7x)

= 10 - 5x - 9x² - 7x

= 10 - 12x - 9x²

= 10 - 12x - 9x²= 9x² - 12x + 10.

D is the correct option.