Answer:
fog(x)=[tex]x^2+8[/tex]
Step-by-step explanation:
Here we are given two functions
f(x) = x+2
g(x)=[tex]x^2+6[/tex]
We are required to find fog(x)
fog(x) is a composite function.
fog(x) = f(g(x))
g(x) = [tex]x^2+6[/tex]
f(g(x)) = f( [tex]x^2+6[/tex] )
f(x)= x+2
Hence we replace x in f(x) with [tex]x^2+6[/tex]
f(g(x))=([tex]x^2+6[/tex])+2
f(g(x))=[tex]x^2+8[/tex]
Hence
fog(x) = [tex]x^2+8[/tex])
