Given: f (x) = x^2 and g (x) = x+1 find g[f (-2) ]

Answer: 5

Step-by-step explanation:

Remark

Start with the meaning of g[f (x) ]. This when you write g (x), where ever you see and x in g (x), put in an f (x)

g (f (x))

g (x) = x + 1 Substitute f (x) for x

g (f (x)) = f (x) + 1 Substitute x^2 for f (x)

g (f (x)) = x^2 + 1

g (f (-2)) = (-2) ^2 + 1 Substitute - 2 for x

g (f (-2)) = (4) + 1

g (f (-2)) = 5 Answer