katiepurus23
katiepurus23 katiepurus23
  • 03-04-2016
  • Mathematics
contestada

If f(x)=2x^2−3x+1 and g(x)=x+5, what is f(g(x))?

Respuesta :

lukyo
lukyo lukyo
  • 03-04-2016
If [tex]f(x)=2x^{2}-3x+1,[/tex] then

[tex]f(g(x))=2[g(x)]^{2}-3g(x)+1\\ \\ f(g(x))=2(x+5)^{2}-3(x+5)+1\\ \\ f(g(x))=2(x^{2}+10x+25)-3(x+5)+1\\ \\ f(g(x))=2x^{2}+20x+50-3x-15+1\\ \\ f(g(x))=2x^{2}+20x-3x+50-15+1\\ \\ \boxed{\begin{array}{c}f(g(x))=2x^{2}+17x+36 \end{array}}[/tex]

Answer Link

Otras preguntas

How many eights are there in 6 1/2
One way to show that a statement is NOT a good definition is to find a _____ converse.conditional.counterexample.biconditional.
all fractions between 0 and 1/4
Given the inequalities y > 5x-8 and y >3x+4, find the point that satisfies one inequalities but not them all
. What are three factors that could contribute to a source not being credible?
Why do Andhra Pradesh donot recive any snow fall during during winter months. PLEASE HELP.....EXAM TOMORROW
Consider the following system of equations. y = 2x - 2 y - 2x = 5 What can you conclude about the system of equations? The system of equations is inconsistent.
Consider the following system of equations. y = 2x - 2 y - 2x = 5 What can you conclude about the system of equations? The system of equations is inconsistent.
What is the difference between displacement and double displacement reactions?Write equations for these reactions?
a person who studies word origins and meanings would most likely be a