Question

F(x) = 3x-5; g(f(x)) = x; what is g(x)?

Answer 1

g( f(x) ) means you are going to interpret g(x), where you replace x with the equation for f(x)

Answer 2

Yes I am aware of that...

Answer 3

g(3x-5) = X
then I am stuck

Answer 4

f(x) 3x-5. g( f(x) ) = x

In This case, g(x) is the inverse function of f(x). Function with variable x into its inverse function will give you back x

Answer 5

g(x) = (x+5)/3

Answer 6

Take f(x) and do the inverse of all the operations in the correct order.

Answer 7

I wanted to understand the mechanics of finding g(x) = x+5/3
A priori, I do not see that the two functions are inverse even though I know it.

Answer 8

f(x)=3x-5. You divide by 3 first to get (x-5)/3. The opposite of subtracting is adding.

(x+5)/3 = g(x)

Answer 9

Please Excuse My Dear Aunt Sally

Brackets, Exponents, Multiply/Divide, Add/Subtract in that order

Answer 10

sorry, I did not mean that by mechanics

Let me elaborate:
g(3x-5) = X by replacing the f(x) value but after that I am lost in the algebraic mechanics
Do you automatically see that fx and gx are inverse functions? and move from there?