Answer:
Step-by-step explanation:
For this case we have the following expression:
(1)
And we want to find the value of ln K. If we apply natural log on both sides of the equation (1) we got:
Using the following property:
for x and y real numbers, x>0, y>0, then we have:
Now since the natural log and the exponentiation are inverse operations we have this:
And then the final expression for ln K is :
I'm assuming for g(x) you mean g(x) = x^2+3 for 
.
Going with that...
![\begin{aligned}f(g(x)) &= f\left( x^2+3 \right)~~~~~\text{plug $x^2+3$ in for $x$ in $f(x)$}\\[0.5em]&= 2\cdot ( x^2+3 )~~~~~\text{so $2x$ became $2(x^2+3)$}\\[0.5em]&= 2x^2+6\endaligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Df%28g%28x%29%29%20%26%3D%20f%5Cleft%28%20x%5E2%2B3%20%5Cright%29~~~~~%5Ctext%7Bplug%20%24x%5E2%2B3%24%20in%20for%20%24x%24%20in%20%24f%28x%29%24%7D%5C%5C%5B0.5em%5D%26%3D%202%5Ccdot%20%28%20x%5E2%2B3%20%29~~~~~%5Ctext%7Bso%20%242x%24%20became%20%242%28x%5E2%2B3%29%24%7D%5C%5C%5B0.5em%5D%26%3D%202x%5E2%2B6%5Cendaligned%7D)
Just treat the enter g(x) function as a single input for f(x).
Answer:
Step-by-step explanation:
Area A = 1/2 bh
36a^2b^4 = 1/2 × (12ab)h
Cross multiply
72a^2b^4 = 12abh
Dividing by 12ab
h = (72a^2b^4)/12ab
h = 6ab^3
Answer:
54/40 = 1.35 or 135%
Step-by-step explanation:
