Question

F(x) = -4x + 15 g(x) = 7x^3 Find (f-g)(2)

Answer 1

f / g)(x) = f(x) / g(x)

= (-9x - 1) / (7x2 - 9x + 8)


Now evaluate the expression when x=2.

Answer 2

`(f-g)(2)=f(2)-g(2)`

Therefore, find f(2) and g(2) first before subtracting.

`f(x)=-4x+15`

Therefore,

`f(2)=-4(2)+15\\f(2)=-8+15\\f(2)=7`

Then find g(2)

`g(x)=7x^3\\g(2)=7(2)^3\\g(2)=7(8)\\g(2)=56`

Then put f(2) to subtract g(2)

`f(2)-g(2)=7-56\\f(2)-g(2)=-49`

Therefore, the answer is (f-g)(2) = -49.