Question

Let f(x)=6x and g(x)=x+4 what’s the smallest number that’s in the domain of F(G)

Answer 1

(-4) will be the smallest value.

Explanation:

Two functions have been given in this question,

f(x) =
`√(6x)` and g(x) = x + 4

Then the composite function (fog)(x) will be,

(fog)(x) = f[g(x)]

f[g(x)] =
`√(6(x+4))`

Since this function is defined for (x + 4) ≥ 0

(x + 4) - 4 ≥ 0 - 4

x ≥ -4

Domain of this function : [-4 ∞)

Therefore, the smallest number in the domain or smallest value for 'x' should be (-4).