Answer:
f(g(x)) = x² - 5x +4
Step-by-step explanation:
<u><em>Explanation</em></u>
Given that the functions
f(x) = x² + 3 x and g(x) = x-4
f(g(x)) = f(x -4) (∵ g(x) = x-4)
= (x-4)² + 3(x-4)
= x² - 2(4)x + 4² + 3x -12
= x² - 8 x + 16 + 3x -12
= x² - 5x +4
∴ f(g(x)) = x² - 5x +4
P(x) = (x + 3)Q(x) + R
<span> P(-3) = (0)Q(x) + R </span>
<span>i P(-3) = R </span>
<span>Now, P(-3) = (-3)⁴ - 9(-3)³ - 5(-3)² - 3(-3) + 4
</span>So
<span>P(-3) = 81 + 243 - 45 + 9 + 4 </span>
<span>=. 292
hope it helps</span>
Answer:


Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.

In this case:

Open Bracket



Collect Like Terms


Solving using quadratic formula:

So:
or 
Since, x can't be negative, then:

One of the leg is:






The percentage would be about 64%
Answer:
c ≈ 0.00782852
, 3.99906481
Step-by-step explanation: