Question

Given the function f(x) = The quantity of 4x - 2/3 which of the below expressions is correct?

answer choices:

f−1(x) = The quantity of 2 - 4x/ 3

f−1(x) = The quantity of 3x - 2 / 4.

f−1(x) = The quantity of -4x - 2 / 3.

f−1(x) = The quantity of 3x + 2 / 4.

Answer 1

@jim_thompson5910

Answer 2

replace f(x) with y

swap x and y

then solve for y to get the inverse

Answer 3

ok what do you mean by swap x and y

Answer 4

say you had the equation

y = 2x + 3

you'd swap x and y to get

x = 2y + 3

Answer 5

then you solve for y in x = 2y + 3 to get the inverse of y = 2x + 3

Answer 6

oh ok i got C?

Answer 7

\[\Large f(x) = \frac{4x-2}{3}\]


\[\Large y = \frac{4x-2}{3}\]


\[\Large x = \frac{4y-2}{3}\]


Now solve for y

Answer 8

i dont know the steps

Answer 9

check out

http://regentsprep.org/regents/math/algebra/ae2/lsolveq.htm

Answer 10

ok thank you

Answer 11

you're welcome

Answer 12

do you think you could give me an example that is just like this so i can plug in the numbers. thats how i learn best

Answer 13

Similar Example


\[\Large f(x) = \frac{17x-94}{15}\]
\[\Large y = \frac{17x-94}{15}\]
\[\Large x = \frac{17y-94}{15}\]
\[\Large 15x = 17y-94\]
\[\Large 15x+94 = 17y\]
\[\Large 17y = 15x+94\]
\[\Large y = \frac{15x+94}{17}\]
\[\Large f^{-1}(x) = \frac{15x+94}{17}\]



So the inverse of \(\Large f(x) = \frac{17x-94}{15}\) is \(\Large f^{-1}(x) = \frac{15x+94}{17}\)

Answer 14

perfect. just what i needed. thanks i got D and i know its correct

Answer 15

correct