Question

what is the inverse of f(x)=14.95 + 3x

Answer 1

Hello and Welcome to OpenStudy! :)

to find the inverse of a function, switch x and y
so y = 14.95 + 3x
becomes x = 14.95 + 3y
now solve for y from there, do you know how to do that?

Answer 2

i did that part already, I'm stuck at what to do after that

Answer 3

ok, so we want y all alone on one side

so first subtract 14.95 from both sides
then divide both sides by 3

Answer 4

ok so, I'm supposed to have x-14.95/3 =y??

Answer 5

mmm either put a parenthesis around it like (x-14.95)/3
or distribute it so (1/3)x - (14.95)/3 = y

Answer 6

so thats the answer for the inverse? no more steps?

Answer 7

yep :)

Answer 8

thanks

Answer 9

wait i have an addition problem related to that

Answer 10

find f ^-1 (38.95)

Answer 11

so once you got f^-1(x) = (x-14.95)/3
plug in 38.95 for x

Answer 12

ok how do you find the range of the inverse function of f(x)=ln(x-5)+2

Answer 13

annnnnddddd that is something that I've deleted from my memory, sorry
ummm
try this
http://www.wolframalpha.com/input/?i=f%28x%29%3Dln%28x-5%29%2B2+range
but I won't be able to explain it for you, sorry

Answer 14

how bout the y intercept of f(x)=ln(x-5)+2 , its fine if you don't know

Answer 15

ahhhh mk that's something I kinda know
the parent function is y = ln(x)
how it is moved around is y = ln(x-h) + k
where h is how much left <-> right
and k is how much up down

orrrr you can think y = mx + b
and b = y-intercept
same idea for this format... so 2 is the y-intercept

Answer 16

i have to show my work , so can you explain a little more how you arrived at 2

Answer 17

oh... show work... thennnn
y-intercept is when x = 0
plug in 0 for x and simplify

Answer 18

k thanks

Answer 19

*scratches head* I guess it's not 2 then...
*shrugs* I failed algebra 2 xD
but the thing about y-intercept is when x=0 should be right