Composition With Inverses...2

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Section 1.9
Questions 80, 82, 84

How is this done?

20210809_231143.jpg
 
first find inverse for f(x) and g(x)
the do composition

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?
 

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