Consider the equations: f(x)= -6-1 and g(x)= 4x^2?

Select the solution for (fg)(x). answer choices are:
1. -6x-1+4x^2
2. -24x^3-4x^2
3. -24x^2-1
4. -24x^5

Assuming -6 should be -6x,
answer is
2. -24x^3-4x^2

(fg)(x)
the (fg) tells you to create a new function by multiplying the two individual functions: f times g

(fg)(x) = (f(x)) times (g(x)) = (-6x -1)(4x^2) = -24x^3 - 4x^2

You can also add, subtract and divide
(f+g)(x) = f(x) + g(x) = 4x^2 - 6x - 1
(g-f)(x) = g(x) - f(x) = 4x^2 + 6x + 1
(f/g)(x) = (-6x - 1)/(4x^2) -- except when x=0 (because you would then be dividing by zero)

f(x) = -6x - 1
g(x) = 4x^2
(fg)(x) = -6(4x^2) -1
Answer choice:
3. -24x^2 - 1

3. -24x^2-1
see step by step solution:
http://symbolab.com/solver/step_by_step/...

hope this helps