Question

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

Answer 1

Given: The function given are

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

Required: To find the function-

`(f-g)(x)`

Explanation: The function can be determined as follows-

`(f-g)(x)=f(x)-g(x)`

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

`\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}`

Final Answer: Option A is correct.