Find the indicated function and Write the domain in interval

Find the indicated function and Write the domain in interval notation p(x) = x^2 - 9x n(x) = x - 5 (P compositefunction n) (x)

Solution

Solution:

p(x) =x²-9x

n(x) = x-5

(p o n)(x) = p(n(x))

= p (x-5)

=(x-5)² -9(x-5)

(p o n) (x) = x² -10x +25 -9x+45

= x²-19x +70

For domain

As we can see there is no restriction in domain therefore it is defined for all value of x

thus domain is ( - , )