Question

F(x)=^3sqrt(x-1) +4 Find f^-1(x) ........ HELP!!!!

Answer 1

is this the correct equation?\[f(x)=3\sqrt{x-1}+4\]

Answer 2

asnaseer if u could help me with my latest probs that would be awesome man!

Answer 3

yea

Answer 4

ok, then what you need to do is invert this so you end up with x = ...

Answer 5

you can do this steps

Answer 6

"in steps"

Answer 7

so u end up with [x=\sqrt[3]{x-1}+4\]

Answer 8

for x and the same for y

Answer 9

no - let me try and do it step-by-step for you

Answer 10

alright thank you

Answer 11

\[f(x)=3\sqrt{x-1}+4\]take 4 away from both sides to get:\[f(x)-4=3\sqrt{x-1}\]square both sides to get:\[(f(x)-4)^2=(3\sqrt{x-1})^2=9(x-1)\]divide both sides by 9 to get:\[\frac{(f(x)-4)^2}{9}=x-1\]add 1 to both sides to get:\[\frac{(f(x)-4)^2}{9}+1=x\]finally swap the left-hand and right-hand sides to get the answer:\[x=\frac{(f(x)-4)^2}{9}+1\]the usual practice is to then replace x on the LHS with f-1(x) and replace the f(x) on the RHS with x to get the inverse function:\[f^{-1}(x)=\frac{(x-4)^2}{9}+1\]

Answer 12

hope that makes sense.

Answer 13

thank you!! :))

Answer 14

no problem - glad to be of service :-)