Question

I award medals to whoever helps me!!!
given f(x)=3x-1 over 2. Solve for f^-1 (4)

Answer 1

1

3

5

7

Answer 2

wow this is tough

Answer 3

lol tell me about it! I have been working on this single problem for 30 minutes trying to figure out how to solve it

Answer 4

and I have had 0 progress with it :p

Answer 5

lol

Answer 6

i've got nothing
sry man

Answer 7

it's okay :-) Thanks for trying!

Answer 8

I gave you a medal because you tried to help me :-) Nobody else has and I posted this on another thing too

Answer 9

nah dude keep the medal i don't deserve it

Answer 10

f−1(x) means the inverse of f(x)
it is asking for the x that makes f(x)= 4

we can find f−1(x) (though this is not necessary)
start with
y = (3x-1)/2
swap x and y
x = (3y -1)/2
solve for y
2x = 3y -1
2x + 1 = 3y
y = (2x+1)/3

now plug in 4 for x to get
y = (2*4+1)/3 = 9/3 = 3

Answer 11

another way is to solve for x in
f(x)=4
4 = (3x-1)/2

multiply both sides by 2
8 = 3x -1
add 1 to both sides
9 = 3x
divide both sides by 3
3 = x

Answer 12

Oh wow!! That clears everything up so much! Thank you SO much!!

Answer 13

f(x)=4

4 = (3x-1)/2

X both sides 2
8 = 3x -1
+1 to both sides
9 = 3x
/ 3
x=3 , Hope it helped! Could use a medal if it did!

Answer 14

Thanks Hannah! It did help but I already gave the medal to phi. You both helped me a lot! If it helps, I became your fan and your smart score was boosted from 19 to 24.