Let f(x) = square root of 6x and g(x) = x - 3. what's the smallest number that is in the domain of fºg?

For this case we have the following equations:

We must find

By definition of composition of functions we have to:

So:

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined. That is to say:

Then, the domain is given by [3, ∞)

The smallest number that is the domain of the composite function is 3

a² + b²= c²

24² + 7² = c²

c= 25

i would need to see the dot plot : )