Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...
Answer:
The answer to your equation is -47.
Step-by-step explanation:
Follow the order of operations. First do 9*5=45, and 6*-2 to get -12. Next, just finish the equation from left to right to get -47.
Step-by-step explanation:
real real on the 11th July world population Day is celebrated on the table that day was across the world it is
Answer:
L = 52°
J = 45°
K = 83°
Step-by-step explanation:
J = L - 7
K = 2L - 21
J + K + L = 180°
∴ (L - 7) + (2L - 21) + L = 180
4L - 28 = 180
4L = 208
L = 52°
J = 52 - 7 = 45°
K = 2 x 52 - 21 = 83°
Y = t*e^(-t/2)
y' = t' [e^(-t/2)] + t [e^(-t/2)]' = e^(-t/2) + t[e^(-t/2)][-1/2]=
y' = [e^(-t/2)] [1 - t/2] = (1/2)[e^(-t/2)] [2 - t] = - (1/2) [e^-t/2)] [t -2]
