Let f(x) =x^2+9x and g(x) =9x+8 perform the composition or operation indicated below (f@g)(5) simplify the answer

tricotasu 2020-12-24 Answered
Let f(x)=x2+9x and g(x)=9x+8 perform the composition or operation indicated below (fg)(5) simplify the answer
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Alara Mccarthy
Answered 2020-12-25 Author has 85 answers
Let us first calculate the composite function of the two given functions which are
f(x)=x2+9x and g(x)=9x+8
The composite function will be given by,
(fg)(x)
=f(g(x))
=(9x+8)2+9(9x+8)
=(81x2+144x+64+81x+72)
=81x2+225x+136
To calculate the required value, we need to substitute x=5 in the composite function obtained above. So we will have, (fg)(5)
=81(5)2+225(5)+136
=81(25)+1125+136
=2025+1261
=3286
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more