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. =)
