Can you help me graph these inverse functions?

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SUMMARY

The discussion focuses on finding the inverse functions of three specific mathematical functions: y = x² (for x ≥ 0), y = 2log10(x), and y = log10(x - 1). The user seeks assistance in graphing these functions alongside their inverses. Key insights include the necessity of rearranging the equations to express x in terms of y and the suggestion to utilize graphing techniques to visualize the inverse functions without explicit calculations.

PREREQUISITES
  • Understanding of inverse functions and their properties
  • Familiarity with logarithmic and exponential functions
  • Basic graphing skills for visualizing functions
  • Knowledge of mathematical notation for functions and inverses
NEXT STEPS
  • Learn how to derive inverse functions for quadratic and logarithmic equations
  • Study graphing techniques for visualizing functions and their inverses
  • Explore the properties of logarithmic functions, specifically log10(x)
  • Investigate the concept of domain restrictions in inverse functions
USEFUL FOR

Students studying algebra, mathematics educators, and anyone interested in understanding inverse functions and their graphical representations.

Ramandeep
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Hey can you please help me with finding the inverse of these functions and a brief explanation for each:

y= x^2 (x> or equal to 0)

y= 2log(base 10) x

y= log (base 10) x-1

I need to submit each function and their inverse functions in one graph (three graphs for each function)

THANKSSSSS XXXXX
 
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do you have any ides/thoughts on how to start?
 
yeh I've done the first one, but i have no idea for the last two. please helppp x
 
start with y(x) as given then rearrange for x in terms of y, x(y)

for the last two, you'll need to rasie everything to the power of e (or 10 depending on you definition of log)
 
Last edited:
Ramandeep said:
Hey can you please help me with finding the inverse of these functions and a brief explanation for each:

y= x^2 (x> or equal to 0)

y= 2log(base 10) x

y= log (base 10) x-1

I need to submit each function and their inverse functions in one graph (three graphs for each function)

THANKSSSSS XXXXX

Did you keep your old schoolbooks? Or look up any standard fairly elementary (high school) math book. Square roots certainly and logarithms usually are defined as inverse functions in the first place!

Plus, since you have to graph, you can graph the inverse functions without even needing to calculate them!
 
hey guys, I've completed these questions and done graphing thanks.
 

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