Given That F(x)=x^2. F(2x-1)=g(2x-5). Prove That G(x)=x^2+8x+16.

Trang chủ » G=2x-1/x+2 » Given That F(x)=x^2. F(2x-1)=g(2x-5). Prove That G(x)=x^2+8x+16.

Có thể bạn quan tâm

Given that f(x)=x^2. F(2x-1)=g(2x-5). Prove that g(x)=x^2+8x+16.
  • Home
  • Algebra 1 Answers
  • Given that f(x)=x^2. F(2x-1)=g(2x-5). Prove that...
I'm not sure is this question under composite function. this is a 2marks proving question.
  • composite functions
  • algebra problems
  • composition of functions
asked Feb 5, 2014 in Algebra 1 Answers by answer comment

Please log in or register to add a comment.

Your answer

Your name to display (optional):
Email me at this address if my answer is selected or commented on:
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.
Add answer

1 Answer

Question: Given that f(x)=x^2. F(2x-1)=g(2x-5). Prove that g(x)=x^2+8x+16. ?

Given: f(x) = x^2

And: f(2x-1) = g(2x-5)

From the given, g(2x-5) = (2x-1)^2

g(2x-5) = {(2x-5) + 4)}^2 = (2x-5)^2 + 8(2x-5) + 16

i.e. g(u) = u^2 + 8u + 16

or, g(x) = x^2 + 8x + 16

answered Feb 5, 2014 by Level 11 User (81.5k points) ask related question comment

Please log in or register to add a comment.

Related questions

1 answer given that f(x) = 3x + 4 and g(x) = square root of x, calculate gf(15) asked Jan 21, 2013 in Algebra 1 Answers by anonymous | 1.5k views
  • algebra
  • composite functions
  • expression
1 answer Let f(x)=x+4 and g(x)=x^2+8x –3. Find the function (f+g)(x), (f-g)(x), (f g)(x), f o g asked Oct 27, 2013 in Algebra 1 Answers by anonymous | 1.2k views
  • composite functions
  • operations with functions
1 answer what does f(g(x)) equal asked Oct 22, 2013 in Algebra 2 Answers by anonymous | 855 views
  • composite functions
1 answer if f(x) = ex and g(x) = log x show that fog=gof given x>0 asked Jun 9, 2013 in Calculus Answers by anonymous | 2.1k views
  • composition of functions
1 answer if f(x) = ex and g(x) = log x show that fog=gof given x>0 asked Jun 9, 2013 in Pre-Algebra Answers by anonymous | 1.4k views
  • composition of functions
1 answer Type the composition ( f o g)(x) of the given functions: f(x) = x^2 + 2x − 6 and g(x) = x + 5 asked Oct 23, 2019 in Algebra 2 Answers by lucy | 2.6k views
  • math problem
  • algebra problems
  • algebra
  • composition of functions
1 answer Given the function f, g and h be defined by f(x)=2x-3, g(x)=3x sqaure-4 and h=sin(x). Find the formula defining the composition function h°f°g asked Jul 10, 2017 in Other Math Topics by anonymous | 1.3k views
  • composition of functions
1 answer Given function f g and h defined by and g(x)=3xsquare-4, h=sin(x). Find the formula defining the composition function of h°f°g asked Jul 10, 2017 in Other Math Topics by anonymous | 989 views
  • composition of functions
1 answer Let g(x) = 2x-3 and h(x) = 2x^2 + 4x -8. Find f(x) such that fog (composition) = h asked Nov 8, 2012 in Calculus Answers by anonymous | 1.7k views
  • composition of functions
  • evaluating functions
1 answer Let f(x)=3x+2 and g(x)=Bx-1. Find a value for B so that f(g(x))=g(f(x) asked Nov 23, 2020 in Calculus Answers by JJ | 1.2k views
  • composition of functions
  • f(g(x))
  • g(f(x))
1 answer if f(x)=x^2+2 and g(x)=2x-1 find (fog)(2) asked Sep 19, 2014 in Calculus Answers by gailparker Level 1 User (120 points) | 771 views
  • composition of functions
1 answer if f(x)=x^2+2 and g(x)=2x+1 find (gof)(x) asked Sep 19, 2014 in Calculus Answers by anonymous | 766 views
  • composition of functions
1 answer (x)=2x-3 & f[g(x)]=1\4x-5. Find f(x) asked Jul 4, 2013 in Trigonometry Answers by anonymous | 803 views
  • composition of functions
1 answer what is the indicated composition of f(x)=-4x+9,g(x)=2x+7 asked Mar 26, 2013 in Algebra 1 Answers by anonymous | 2.5k views
  • composition of functions
2 answers f(x)=2x+5 g(x)=x^2-3 h(x)=(7-x)/(3) Evaluate (f o g)(x) and (h o g)(x) asked Mar 2, 2013 in Algebra 1 Answers by madukes23 Level 1 User (240 points) | 1.6k views
  • composition of functions
  • inverse function
  • evaluating functions
1 answer f(x)=2x+5 g(x)=x^2-3 h(x)=7-x/3 asked Mar 2, 2013 in Algebra 1 Answers by madukes23 Level 1 User (240 points) | 1.1k views
  • composition of functions
  • inverse function
  • algebra problems
1 answer Find the indicated composition f of g (x) if f(x)=-5x+2 & g(x)=2x+7 asked Jan 17, 2013 in Calculus Answers by anonymous | 1.2k views
  • composition of functions
0 answers What are the coordinates of vertex F" of ΔF"G"H"? asked Oct 30, 2017 in Geometry Answers by anonymous | 1.9k views
  • algebra problems
  • composition of functions
  • vertex of a parabola
1 answer f(x)=4x-6 and g(x)=x+2 find the (fog)(2) asked Sep 19, 2014 in Algebra 2 Answers by anonymous | 957 views
  • composition of functions
1 answer f(x)=1+x/1-x , g(x) = x/1-x find fog and gof and state the domain of the composition. asked Jun 8, 2013 in Calculus Answers by anonymous | 2.2k views
  • evaluating functions
  • composition of functions
RememberRegister Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

algebra problems solving equations word problems calculating percentages math problem geometry problems calculus problems math fraction problems trigonometry problems rounding numbers simplifying expressions solve for x order of operations probability algebra pre algebra problems word problem evaluate the expression slope intercept form statistics problems factoring polynomials solving inequalities 6th grade math 87,488 questions100,921 answers2,421 comments935,696 users

Từ khóa » G=2x-1/x+2