text: # Pre-Calculus
  
  1. Find functions f and g so that f[g(x)]=H(x) where H(x)=(1+x^2)^3
  
  2. For f(x)=4x+1 and g(x)=x^2-2x-4, find (g-f)(x)
  
  3. Determine f(x)=x/x^2-4
  
  4. Determine the domain of f in f(x)=10-sqrt3-x
  
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  ## Similar Questions
  
  Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t
  
  asked by Samantha on October 7, 2013
  2. ### Math
  
  Help me for this question on composite functions Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.
  
  asked by Chris on January 24, 2016
  3. ### Algebra 2
  
  Which statements represent the relationship between y=2x and y=log2x ? Select each correct answer. The equation ​ y=log2x ​ is the logarithmic form of ​ y=2x ​.
  
  asked by sammiexo on June 1, 2017
  4. ### College Algebra! help!
  
  Consider the following functions f(x)= (7x+8)/(x+3) and g(x)= (3x-8)/(7-x) (a) Find g(g(x)) (b) Find g(f(x)) (c) Determine whether the functions f and g are inverses of each other.
  
  asked by Rosie on May 14, 2013
  5. ### Pre-Calculus
  
  Composition of Functions If f(x) = 2x+1 find A. f o f(x) f(f(x)) = f(2x+1) f(2x+1) = 2(2x+1) f(f(x)) = 4x +2 B. f o f o f o f(x) ^ I don't get how to solve this one C. f o f o f o f o f ...o f(x) n functions of f ^ I also don't
  
  asked by Shreya on September 27, 2012
  1. ### Algebra 2
  
  for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses? do you put them into each other?
  
  asked by Star on February 22, 2015
  2. ### cjs/210
  
  Will someone please help me find a website to answer the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What
  
  asked by Picaboo on July 8, 2012
  3. ### Algebra
  
  How does gravity relate to functions, specifically to s(t)= -1/2 gt^2 + vt + h. Provide a brief history of the projectile and its use in functions.
  
  asked by Jamal Dwight on December 5, 2017
  4. ### pre calculus
  
  consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all.
  
  asked by Staci on March 27, 2013
  5. ### linear algebra
  
  Let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ⊕ g by (f ⊕ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector
  
  asked by kirsten on February 26, 2015
  6. ### Algebra
  
  Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these
  
  asked by Debra on May 2, 2011
explanation: The provided text is a set of math problems, specifically from pre-calculus, focusing on functions and their compositions. The text lists four problems, each asking for a specific operation or determination related to functions. The text does not contain answers to these questions, only the questions themselves.
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distilabel_metadata.role: system
distilabel_metadata.content: # Pre-Calculus
  
  1. Find functions f and g so that f[g(x)]=H(x) where H(x)=(1+x^2)^3
  
  2. For f(x)=4x+1 and g(x)=x^2-2x-4, find (g-f)(x)
  
  3. Determine f(x)=x/x^2-4
  
  4. Determine the domain of f in f(x)=10-sqrt3-x
  
  1. 👍 0
  2. 👎 0
  3. 👁 113
  
  ## Similar Questions
  
  Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t
  
  asked by Samantha on October 7, 2013
  2. ### Math
  
  Help me for this question on composite functions Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.
  
  asked by Chris on January 24, 2016
  3. ### Algebra 2
  
  Which statements represent the relationship between y=2x and y=log2x ? Select each correct answer. The equation ​ y=log2x ​ is the logarithmic form of ​ y=2x ​.
  
  asked by sammiexo on June 1, 2017
  4. ### College Algebra! help!
  
  Consider the following functions f(x)= (7x+8)/(x+3) and g(x)= (3x-8)/(7-x) (a) Find g(g(x)) (b) Find g(f(x)) (c) Determine whether the functions f and g are inverses of each other.
  
  asked by Rosie on May 14, 2013
  5. ### Pre-Calculus
  
  Composition of Functions If f(x) = 2x+1 find A. f o f(x) f(f(x)) = f(2x+1) f(2x+1) = 2(2x+1) f(f(x)) = 4x +2 B. f o f o f o f(x) ^ I don't get how to solve this one C. f o f o f o f o f ...o f(x) n functions of f ^ I also don't
  
  asked by Shreya on September 27, 2012
  1. ### Algebra 2
  
  for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses? do you put them into each other?
  
  asked by Star on February 22, 2015
  2. ### cjs/210
  
  Will someone please help me find a website to answer the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What
  
  asked by Picaboo on July 8, 2012
  3. ### Algebra
  
  How does gravity relate to functions, specifically to s(t)= -1/2 gt^2 + vt + h. Provide a brief history of the projectile and its use in functions.
  
  asked by Jamal Dwight on December 5, 2017
  4. ### pre calculus
  
  consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all.
  
  asked by Staci on March 27, 2013
  5. ### linear algebra
  
  Let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ⊕ g by (f ⊕ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector
  
  asked by kirsten on February 26, 2015
  6. ### Algebra
  
  Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these
  
  asked by Debra on May 2, 2011
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a set of math problems, specifically from pre-calculus, focusing on functions and their compositions. The text lists four problems, each asking for a specific operation or determination related to functions. The text does not contain answers to these questions, only the questions themselves.
  
  Label: multiple-question