Question

f(x)=3x-2 find f(1/x)

Answer 1

This problem in words is asking you what the inverse of (3x-2) is. :-)

hint: Inverse of 4 is \(\large\frac{1}{4}\) or 0.25

Answer 2

1/3x-2??

Answer 3

:-O Parenthesis are important! ;-)

Answer 4

(1/3x)-2

Answer 5

\[1/3x-2 \neq 1/(3x-2) = \frac{1}{3x-2}\]

Answer 6

\[1/3x-2 = \frac{1}{3x}-2\]

Answer 7

but my text gives a different answer.

Answer 8

(3/x)-2

Answer 9

Ah I didn't understand what you originally meant then,

\[3(\frac{1}{x})-2\]

Answer 10

You're are putting the inverse of x into the input, gotcha

Answer 11

it's not asking for the inverse

Answer 12

o wait you figured it ou nvm lol

Answer 13

@Outkast3r09 Yeah I see that now.

Answer 14

I do not understand?

Answer 15

3 * 1/x is the same thing as 3 divided by x

Numerical proof:
(pretending x is 2)
3 * (1/2) = 1.5
3 / 2 = 1.5

Answer 16

Or if you want to take it up a notch, lets say x = 0.5, which is 1/2

3 * (1/(1/2)) = 3 * (1/(0.5)) = 3 * 2 = 6

Answer 17

Now do you understand @Hollywood_chrissy ?

Answer 18

Fact:
Multiplying by a reciprocal of a number is the same thing as dividing by that number

\[\frac{3}{1}\cdot \frac{1}{x} = \frac{3}{x}\]

Answer 19

a little.

Answer 20

3 * 1 = 3
1 * x = x

Answer 21

and then subtract 2

Answer 22

\(\huge\frac{3}{x} - 2\)

Answer 23

thanks sale

Answer 24

np, sry about the confusion at the start