Answer:
2.45
Step-by-step explanation:
Given f(x)=√x+1 and g(x)=3+√x, to calculate for (f∘g)(4), first we need to get the function (f∘g)(x).
(f∘g)(x). = f{g(x)}
since g(x) =3+√x, then;
f{g(x)} = f(3+√x)
If f(x) = √x+1
f(3+√x) can be gotten by simply replacing x with 3+√x in f(x)
f(3+√x) = √(3+√x)+1
f{g(x)} = √(3+√x)+1
f{g(4)} can be gotten by substituting x = 4 into the resulting function above.
f{g(4)} = √(3+√4)+1
f{g(4)} = √(3+2)+1
f{g(4)} = √5+1
f{g(4)} = √6
f{g(4)} = 2.449 ≈ 2.45 to two decimal places.
Hence, (f∘g)(4) for the functions to two decimal places is 2.45
