Let f(x) = 1/x and g(x) = x^2 + 4x. what two numbers are not in the domain of fºg?

0 and -4

Step-by-step explanation:

We have been given the following functions;

f(x) = 1/x

g(x) = x^2 + 4x

The first step would be to evaluate the composite function fºg.

fºg = f[g(x)]. We substitute g(x) in place of x in f(x)

fºg =

This is clearly a rational function which will be defined everywhere except where the expression in the denominator will be equal to 0.

We solve for x;

Therefore, the two numbers that are not in the domain of fºg are 0 and -4

For this case we have the following equations:

We must find (f_ {o} g) (x):

By definition of composition of functions we have to:

So:

We must find the domain of The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

So, the roots are:

The domain is given by all real numbers except 0 and -4

x other than 0 and -4

linear

step-by-step explanation:

the answer will be the last one