Given-that-f-x-8x-and-g-x-3x-2-4-find-a-f-1-x-b-an-expression-for-fg-x-c-value-of-x-which-fg-x-20-

Question Number 86129 by oustmuchiya@gmail.com last updated on 27/Mar/20

G i v e n t h a t f (x) = 8 x a n d g (x) = \frac{3 x - 2}{4}, f i n d

(a) f^{- 1} (x) (b) a n e x p r e s s i o n f o r f g (x)

(c) v a l u e o f x w h i c h fg (x) = 20

Commented by jagoll last updated on 27/Mar/20

a) f^{- 1} (x) = \frac{x}{8}

b) f (g (x)) = 8 (\frac{3 x - 2}{4}) = 6 x - 4

c) f (g (x)) = 6 x - 4 = 20

x = \frac{24}{6} = 4

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