rubyramos rubyramos
  • 03-02-2017
  • Mathematics
contestada

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

A.
3

B.
-53

C.
-9

D.
23

Respuesta :

lukyo
lukyo lukyo
  • 06-02-2017
f(x) = – 2x – 7   and   g(x) = – 4x +3.


Finding g(
–5):

g(
–5) = – 4 · (– 5) + 3

g(–5) = 20 + 3

g(–5) = 23


So,

(f o g)(– 5) = f[ g(– 5) ]

(f o g)(– 5) = f(23)

(f o g)(– 5) = – 2 · 23 – 7

(f o g)(– 5) = – 46 – 7

(f o g)(– 5) = – 53    <———    this is the answer    (option B.  – 53)


I hope this helps. =)

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