Composition With Inverses...2

Section 1.9
Questions 80, 82, 84

How is this done?

 

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

 

Ok. Will do. Going to relax at the beach this weekend. When it's humid like it is, my joints hurt a lot.

 

ok, have a fun

 

Question 80

(g^(-1) ° f^(-1))(-3) = g inverse (f inverse (-3))

f(x) = (1/8)x - 3

f^(-1) (x) = 8x + 24

f^(-1) (-3) = 8(-3) + 24 = 0

g(x) = x^3

g^(-1) (x) = cr{x}

Note: cr = cube root

g inverse (f inverse (-3))

I know that f inverse (-3) is 0.

g inverse (0) = cr{0} = 0

Answer is 0.

Yes?

 

correct

 

Cool. What about
Composition With Inverses...1?