Answer:
C. 3
Explanation:
You cannot divide by 0.
So plug in g(x) into f(x) in the denominator. The numerator is irrelevant so you don't need to worry about it.
Solve for what value of x will give you a denominator of 0.
I just eyeballed this and found that x=3 give you a denominator of 0.
or you can just plug in and check all the answer choice.
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The first thing you have to realize is that
tangent is the
slope of a curve on a given point. You can solve for the slope by finding the derivative of the given function. So:
Next use
product rule (I recommend watching videos if you're confused):
![= [sin(x)] + [x*cos(x)]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28x%29%5D%20%2B%20%5Bx%2Acos%28x%29%5D)
Next substitute you x-value (π/2) into your derivative:
![= [sin( \frac{ \pi}{2} )] +[ \frac{\pi}{2}*cos( \frac{\pi}{2})]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28%20%20%5Cfrac%7B%20%5Cpi%7D%7B2%7D%20%29%5D%20%2B%5B%20%5Cfrac%7B%5Cpi%7D%7B2%7D%2Acos%28%20%5Cfrac%7B%5Cpi%7D%7B2%7D%29%5D%20%20)
So our slope at π/2 is 1. Next we use our slope-form and substitute our given value and solve for y-intercept (algebra-stuff)
So we get our equation:
So our answer is E
Feel free to ask any questions.
Hopes this helps!
B i think and i hope this helps you
1) x=9, because we can use the Pythagorean theorem, x^2 + 144 = 225, x^2 = 81
2) 
, because 6^2 +6^2 = 72, 
3) 
, because 
hope this helps... load for images!
