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Sedbober [7]
3 years ago
8

Let f(x) = -­2x ­- 7 and g(x) = ­-4x + 3. Find (f o g)(-­5)

Mathematics
1 answer:
musickatia [10]3 years ago
3 0
The answer is:  [A]:  " -53 " .
_______________________________________________________
Explanation:
_______________________________________________________
Given:  

" Let f(x) = -­2x ­−<span> 7 and g(x) = ­-4x + 3.  Find (f o g)(-­5) " ;
_______________________________________________
First, find g(-5) .   g(x) = -4x + 3.  

g(-5) = -4*(-5)  + 3 = 20 + 3 = 23 ;
_______________________________________________
Now find f (g(-5) to get the answer; that is f(23); 
_______________________________________________
  Find f(23).  f(x) = -2x </span>− 7 .  
 
  f(23) = (-2*23) − 7 = -46 <span>− </span>7 = -53 ; which is "Answer choice: [A]" .
_______________________________________________
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The first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1

The complete question is as given below:-

The angle by which turns clockwise about point B to coincide with is degrees. If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.

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The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

I have attached the figure for this problem and there are two questions for this problem. The first is the angle needed for AB to turn to coincide with BC.

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The second question is the angle needed for AB to turn to coincide with EB. Angle EBA is complementary with angle ABC. So,

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Perpendicular lines cross at one point. The two lines form a 90 degree angle. The two slopes multiply to -1, which is another way of saying that the slopes are negative reciprocals of one another. For example, a line with a slope of 2/3 and another line with a slope of -3/2 has these two values multiply to -1; therefore showing they are perpendicular lines.

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