Question

Given p(x)= 3x+1 and r(x)= 2x^2+5 which of the following represents the composition p(r(x)) ?

Answer 1

Explanation:

substitute the values

px=3x+1

=(3x+1)/x

=3x/x +1/x

=3+1/x

rx=2x²+5

p(r(x)) =(3+1/x(2x²+5))

=6x²+15+2x²/x+5/x

=3(2x²+5)+1/x(2x²+5)

=(2x²+5)(3+1/x)