Question

20 POINTS!!!
Let f(x)=1/x and g(x)=x^2-7x. what two numbers are NOT in the domain of f°g? separate your answes with a comma.

Answer 1

Hello from MrBillDoesMath!

Answer:

x = 0, 7

Discussion:

f(g(x)) =

f ( x^2-7x) =

1/ ( x^2 - 7x)

The points NOT in the domain are those where the denominator,  x^2 - 7x = 0.

x^2 - 7x   = 0       =>       factor x from each term

x(x-7) = 0            =>        one or both terms must each 0

x = 0 or x =7

Thank you,

MrB