Register
Find (f o g) (x) if g(x) = x + 1 and f(x) = 2x^2 - 5x + 8
81,389 views
10 votes
10 votes
Find (f o g) (x) if g(x) = x + 1 and f(x) = 2x^2 - 5x + 8

User Minjeong
by
2.5k points

1 Answer

23 votes
23 votes

Given:


\begin{gathered} g(x)=x+1 \\ f(x)=2x^2-5x+8 \end{gathered}

The composition of the given two function is,


\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =f(x+1) \\ =2(x+1)^2-5(x+1)+8\ldots\ldots\ldots.(\text{ apply the definition f(}x)) \\ =2x^2+4x+2-5x-5+8 \\ =2x^2-x+5 \end{gathered}

Answer:


(f\circ g)(x)=2x^2-x+5

User Arthur Facredyn
by
2.5k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers

Other Questions

Can anybody tell me what’s going on here?
Granola costs $1.76 per pound. Write and solve an equation to determine the number of pounds p of granola that can be purchased with $7.04. The equation is: The value of x is
Evalute 8a -1+0.5b when a =1/4 and b= 10 how dose this work i need help..
PLZ needed now plz URGENT!
HELP PLEASE, I NEED THE ANSWER QUICKLY
Link Copied!