Answer:
C. KC DA
Step-by-step explanation:
KC is across each other and DA is up and down from each other.
Hope this helps :)
Step-by-step explanation:
The answer is B and C
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Answer:
I'm pretty sure the answer is D. :)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The domain is x < 5
The range is all real numbers (-∞, ∞)
Answer:
![(f/g)(x) = \frac{x + 5}{3x + 5}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7Bx%20%2B%205%7D%7B3x%20%2B%205%7D%20)
Step-by-step explanation:
f(x) = 3x² + 10x - 25
g(x) = 9x² - 25
To find (f/g)(x) divide f(x) by g(x)
That's
![(f/g)(x) = \frac{3 {x}^{2} + 10x - 25 }{9 {x}^{2} - 25 }](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7B3%20%7Bx%7D%5E%7B2%7D%20%2B%2010x%20-%2025%20%7D%7B9%20%7Bx%7D%5E%7B2%7D%20-%2025%20%7D%20)
Factorize both the numerator and the denominator
<u>For the numerator</u>
3x² + 10x - 25
3x² + 15x - 5x - 25
3x ( x + 5) - 5( x + 5)
(3x - 5 ) ( x + 5)
<u>For the denominator</u>
9x² - 25
(3x)² - 5²
Using the formula
a² - b² = ( a + b)(a - b)
(3x)² - 5² = (3x + 5)(3x - 5)
So we have
![(f/g)(x) = \frac{(3x - 5)(x + 5)}{(3x + 5)(3x - 5)}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7B%283x%20-%205%29%28x%20%2B%205%29%7D%7B%283x%20%2B%205%29%283x%20-%205%29%7D%20)
Simplify
We have the final answer as
![(f/g)(x) = \frac{x + 5}{3x + 5}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7Bx%20%2B%205%7D%7B3x%20%2B%205%7D%20)
Hope this helps you