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

a.
-53

b.
23

c.
3

d.
-9

The answer is:  [A]:  " -53 " .

Explanation:

Given:  

" Let f(x) = -­2x ­− 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 − 7 .  
 
  f(23) = (-2*23) − 7 = -46 − 7 = -53 ; which is "Answer choice: [A]" .

The first one is correct