Question

how do you find f^1(x) of f(x)=1/2x+2?

Answer 1

f^-1(x) you mean?

Answer 2

a claculator and a formula

Answer 3

no, the derivitive.

Answer 4

I know how to find it, the fraction is just throwing me off.

Answer 5

the derivative of a degree 1 function (line) is the slope, 1/2

Answer 6

Do you mean that f(x) = 1/(2x) + 2? Then write it as (2x)^(-1) if the fraction throws you off. Then use the normal derivative rule where you subtract the power of x by 1 etc, to get f'(x) = -2x^(-2).

Answer 7

it's the whole, f(x+h) plug it in to f(x+h) - f(x) all over h? that's how our teachers been teaching us..

Answer 8

the difference quotient with h approaching 0?

Answer 9

is it 1 over 2x or one-half x?

Answer 10

is it
\[f(x)=\frac{1}{2x+2}\]?

Answer 11

or
\[f(x)=\frac{1}{2}x+2\]

Answer 12

second one will be quick
first one will be a pain, so we hope it is the second.
let us know

Answer 13

\[f(x+h)-f(x)=\frac{1}{2}(x+h)+2-(\frac{1}{2}x+2)\]
\[=\frac{1}{2}x+\frac{1}{2}h-\frac{1}{2}x-2=\frac{1}{2}h\] divide by h, get
\[\frac{1}{2}\] because the derivative is the slope
if it is the other one let me know and we can try that one too

Answer 14

thank you so much for the help!

Answer 15

i have more, i'll keep you updated, thank you!

Answer 16

yw