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.