Composition With Inverses...1

[nycmathguy]

Section 1.9
Questions 86 & 88

How is this done?

 

[MathLover1]

first find inverse for f(x) and g(x)
the do composition

 

[nycmathguy]

first find inverse for f(x) and g(x)
the do composition

Ok. I will work on this before Monday. Going to the beach today and tomorrow.

 

[nycmathguy]

first find inverse for f(x) and g(x)
the do composition

Question 86

f^(-1) ° g^(-1) = f inverse (g inverse).

Let f(g) = f inverse (g inverse)

f(x) = x + 4

f^(-1) = x - 4

g(x) = 2x - 5

g^(-1) = (x + 5)/2

f(g) = [(x + 5)/2] - (4/1)

f(g) = (x + 5 - 8)/2

f(g) = (x - 3)/2

Yes?

 

[MathLover1]

correct

 

[nycmathguy]

correct

We are done with Section 1.9 with the exception of a few more questions.