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This is one that I have a lot of trouble with!

This Is One That I Have A Lot Of Trouble With class=

Sagot :

Given: The function given are

[tex]\begin{gathered} f(x)=4x^3+5x^2-3x-6 \\ g(x)=4x-5 \end{gathered}[/tex]

Required: To find the function-

[tex](f-g)(x)[/tex]

Explanation: The function can be determined as follows-

[tex](f-g)(x)=f(x)-g(x)[/tex]

Putting the values of the function f(x) and g(x)-

[tex]\begin{gathered} (f-g)(x)=(4x^3+5x^2-3x-6)-(4x-5) \\ =4x^3+5x^2-3x-6-4x+5 \\ =4x^3+5x^2-7x-1 \end{gathered}[/tex]

Final Answer: Option A is correct.

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