Question

100 POINTS !!!! Let f(x)=√3x and g(x)=x-6 What's the smallest number that is in the domain of fog?

Answer 1

As

(fog)(x)=f(g(x))

• g(x)=x-6

f(g(x))

• f(x-6)
• √3(x-6)

So

• x-6≥0
• x≥6

Smallest no is 6

Answer 2

6

Explanation:

fog(x) = √3(x-6)

Domain => 3(x-6) ≥ 0

<=> x-6≥ 0

=> x ≥ 6

so, the smallest number is 6