Composition and inverses of functions

Click For Summary
SUMMARY

The discussion focuses on the composition and inverses of functions, specifically addressing the problems involving the functions f(x) = 1/2x - 7 and g(x) = x - 6, as well as f(x) = 3x^2 and g(x) = x - 4. Participants seek clarification on how to compute [f of g](x) and [g of f](x). The conversation highlights the importance of understanding function composition in precalculus, emphasizing the need for clear problem-solving strategies.

PREREQUISITES
  • Understanding of function notation and evaluation
  • Basic algebra skills, including manipulation of equations
  • Familiarity with quadratic functions and their properties
  • Knowledge of the concept of function inverses
NEXT STEPS
  • Practice function composition with various functions
  • Study the properties of inverse functions
  • Learn how to graph functions and their inverses
  • Explore real-world applications of function composition
USEFUL FOR

Students in precalculus, educators teaching function concepts, and anyone seeking to strengthen their understanding of function composition and inverses.

unknownuser
Messages
2
Reaction score
0
just started my precalculus class and i can not understand what's going on and its makes me mad too. In our book we are on 1-2 Composition and Inverses of Functions like for this one problem:

Find [f of g] (x) and [g of f] (x).
1. f(x)= 1/2x-7
g(x)= x=6



and this problem

f(x)=3x^2 and g(x)=x-4 please help
 
Physics news on Phys.org
Stop shouting.
 
And why would you put a thread title "Precalculus" in the "Calculus & Beyond" section instead of in the section called "Precalculus Mathematics"?
 

Similar threads

Is It Possible to Invert a Homotopy?
  • · Replies 5 ·
Replies
5
Views
1K
Prove that f is a homeomorphism iff g is continuous, fg=1 and gf=1
  • · Replies 5 ·
Replies
5
Views
2K
Evaluating scalar products of two functions
  • · Replies 1 ·
Replies
1
Views
2K
Implicit function theorem part 2
  • · Replies 1 ·
Replies
1
Views
1K
Finding inverses of two functions in Lambda Notation
  • · Replies 3 ·
Replies
3
Views
2K
Express a function as a sum of even and odd functions
  • · Replies 7 ·
Replies
7
Views
2K
Can this function still be a constant function?
  • · Replies 11 ·
Replies
11
Views
2K
Lagrange multipliers understanding
  • · Replies 8 ·
Replies
8
Views
2K
f(x) = 2x+1, proving that it is continuous when p = 1 with 𝛿 and ε
  • · Replies 7 ·
Replies
7
Views
2K
Determine limits of integration in double integral change of variables
  • · Replies 2 ·
Replies
2
Views
2K