Question

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Answer 1

I was able to figure out how to graph the \[f(x)=\sqrt{3x+2}\]

Answer 2

but the f^-1 is new to me

Answer 3

ok you need to find x in terms of f(x)
let f(x) = y
y = sqrt(3x + 2)
square borh sides
y^2 = 3x + 2

can you continue?

Answer 4

now , from what @welshfella did, try making x the subject formula

Answer 5

I feel so dumb right now, but I'm really trying to understand.

Answer 6

f-1(x) means the inverse of f(x)

find x in terms of y:-

3x = y^2 - 2

x = (y^2 - 2) / 3

now replace x by f-1(x) and y by x

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

Answer 7

very correct @welshfella

Answer 8

okay before I saw the answer at the bottom there I made up my mind that it had to be the third option I have in the picture, which I guess means I do understand it a little bit.

Answer 9

Thanks so much @welshfella I'll have to keep reviewing this though

Answer 10

yes and try a few examples

try a simple one ;-

f(x) = 4x
Find f-1(x)