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

(MATH) (6) ((PHOTO))label is ft​
Unsaturated fat comes from animal products such as butter and cheese. Group of answer choices True False
Ca + AgCl (Single Replacement Reactions) PLEASE HELP
2. In the United States we refer to April 22nd as Earth Day in other countries the celebration of our Earth is called
Please Hurry) Consider the quadratic equation 3x^2 - 6 = 2x. A) What is the value of the discrimination? B) What does the discrimination of the quadratic equati
A private jet flies the same distance in 14 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was 181mph less than 3 times the sp
Which statements are correct about the following expression? Select TWO that apply. 2y + 1
how do tattoo artists work with the same imagery but make it their "own"
Which expression is equivalent to 10x2y + 25x2? 5x2(2y + 5) 5x2y(5 + 20y) 10xy(x + 15y) 10x2(y + 25)
Which condition is caused by a slightly shortened eyeball? a) astigmatism b) nearsightedness c) farsightedness