Question

Evaluate the expression and interpret the work in terms of the context:
f(3)

Time: 3
Velocity: 96

Answer 1

what expression?

Answer 2

I need to find the inverse of f(3). The original function is below that, where the time is 3 and velocity of 96.

Answer 3

... so, at time = 3, the velocity is 96? ....so f(3) = 96? inverse would be... f'(96) = 3?

Answer 4

Is that how it works? It's that simple???

Answer 5

or is it t=f^-1(v)?

Answer 6

Yes, that is the correct notation. I was being lazy.
inverses is just flipping the x and y. (easy answer)

Answer 7

if I plug in 3 to get 96...then when i find the inverse function (i.e. solve for 3, I need to plug in 96 to get back to 3.)

Answer 8

or would it be 3^-1(96)?

Answer 9

f isn't defined (no equation-unless you're hiding it from me.) all we know is when 3 is the input, the output is 96. the inverse f would use the 96 as the input to get 3 as the output. So... f(3) = 96
\[f ^{-1}(96) = 3\]

Answer 10

Oh, the equation might b3e v=f(t)=32t
so the inverse of that would be t=f^-1(v)

Answer 11

no.
v = 32t (swap v and t)
t = 32v (solve for v)
t/32 = v
therefore,
\[f ^{-1}(t) = t/32\]

Answer 12

ok thanks!