Question

OK GUYS new question :) (easier, i think :P )

f(x) = 2x + 1
f(g(x)) = 1/(2x+1)

What is g(x) ??

Answer 1

how do we turn f(x) into f(g(x)) by altering the x part?

Answer 2

it might be easier to say f(a) instead of f(x) limits the amount of x on x confusion to me

Answer 3

but the point of using x, is that in the equation the variables are called x :P

Answer 4

i know, but to separate the x in f and the x in g is useful ....

say f(a) = 2a+1; then g(x) = a

Answer 5

2a+1 = 1/(2x+1)

solve for a, since a = g(x)

Answer 6

or ... to keep your preciuous xs :)

2g(x) + 1 = 1/(2x+1)

and solve for g(x)

Answer 7

subtract 1 and divide off the 2

Answer 8

HAWW I DIDN'T THINK OF THAT WAIT.

Answer 9

so i got (2x + 1)/-x now what :P

Answer 10

2g(x) + 1 = 1/(2x+1)

2g(x) = 1/(2x+1) - 1

g(x) = 1/2(2x+1) - 1/2

g(x) = 1/2(2x+1) - 1/2 is what i get