Given-that-f-x-2x-7-8-and-g-x-3x-6-6-find-a-g-6-b-f-1-x-c-the-value-of-x-if-f-x-g-x-

Question Number 86189 by oustmuchiya@gmail.com last updated on 27/Mar/20

G i v e n t h a t f (x) = \frac{2 x + 7}{8} a n d g (x) = \frac{3 x - 6}{6}, f i n d

(a) g (6), (b) f^{- 1} (x) (c) the value of x i f f (x) = g (x)

Answered by Kunal12588 last updated on 27/Mar/20

(a) g (6) = \frac{18 - 6}{6} = 2

(b) f^{- 1} (x) = \frac{8 x - 7}{2}

(c) 12 x + 42 = 24 x - 48

\Rightarrow 12 x = 90

\Rightarrow x = \frac{15}{2} = 7.5