Find the inverse function of each of the following functions. Specify the domains of the inverse functions. (a) f(x) = (1)/(5x + 8) (b) h(x) = (5)/(x + 3) (c) g(x) = 4 sqrt(3) - x - 7

Stephany Wilkins

Stephany Wilkins

Answered question

2022-10-17

Find the inverse function of each of the following functions. Specify the domains of the inverse functions.
( a ) f ( x ) = 1 5 x + 8 ( b ) g ( x ) = 4 3 x 7 ( c ) h ( x ) = 5 x + 3

Answer & Explanation

plomet6a

plomet6a

Beginner2022-10-18Added 20 answers

a) 1 5 x + 8 y = 1 5 x + 8 5 x y + 8 y = 1 x = 1 8 y 5 y f 1 ( x ) = 1 8 x 5 x D o m a i n   ( , 0 ) ( 0 , ) 1 5 x + 8
or
y = 1 5 x + 8 y 8 = 1 5 x 5 x = 1 y 8 x = 1 5 ( y 8 ) f 1 ( x ) = 1 5 ( x 8 ) , D o m a i n   ( , 8 ) ( 8 , )
Christopher Saunders

Christopher Saunders

Beginner2022-10-19Added 6 answers

b) g ( x ) = 4 3 x 7 y = 4 3 x 7 x = 4 3 y 7 g 1 ( x ) = 4 3 x 7 D o m a i n   ( , )
c) y = 5 x + 3 x y + 3 y = 5 x = 5 3 y y h 1 ( x ) = 5 3 x x D e m a i n   ( , 0 ) ( 0 , )

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