Question

if f(x)=12x pwr 5 and g(x)= -3x pwr 2,
determine (f.g)(-1)
[given: (f.g) (x) =f(x).g(x)]
plz help..!

Answer 1

dyanesh,

If I read what you wrote correctly, you are given:

f*g(x) = f(x)*g(x)

And you are asked to solve f*g(-1). So, it is really a plug and play problem.

f*g(-1) = f(-1)*g(-1)

So, by substitution,

\[f*g(-1)=12(-1)^{5} * (-3)(-1)^{2}\]

\[f*g(-1) = 12(-1) * (-3)(1) = -12 * -3 = 36\]

Hope that helps.