Question

If f(g(x) )=6x+1 and f(x)=2x+3, what is g(x)?
Explain the answer, please. Thanks! :))

Answer 1

first let me ask you...say f(x = 2x + 3...how would you solve for f(6)?

Answer 2

note..im asking HOW..not WHAT

Answer 3

by substitution. that is f(6) = 2(6) + 3 = 15

Answer 4

good! f(g(x)) is the same...you substitute g(x) to every x term in f(x)

2x + 3

only x term is in 2x + 3

f(g(x)) = 2(g(x)) + 3

got it?

Answer 5

2 g(x) + 3 = 6x + 1
-> g(x) = ....

Answer 6

^that's the continuation

Answer 7

@lgbasallote clarify the relation :)

Answer 8

will do next time :D

Answer 9

thanks @lgbasallote and @Chlorophyll . got the answer, g(x)= 3x -1. :))

Answer 10

:)