Determine whether the function is? one-to-one. If? so, ?(a) write an equation fo

ID: 3149234 • Letter: D

Question

Determine whether the function is? one-to-one. If? so, ?(a) write an equation for the inverse function in the form

y=f^-1?(x),

?(b) graph f and

fSuperscript negative 1?1

on the same? axes, and ?(c) give the domain and range of f and

fSuperscript negative 1?1.

If the function is not? one-to-one, say so.

?f(x)= x^2 = 6

a. What is the equation for the inverse? function?

Give the domain and range of f.

Give the domain and range of

fSuperscript negative 1?1?,

if possible.

An equation that defines y as a function f of x is given.

?a) Solve the equation for y in terms of? x, and replace y with the function notation? f(x).

?b) Find

?f(66?).

solve the equation for y in terms of? x, and replace y with the function notation? f(x).

f(x) = ?

find f(6)

f(6)?

f(x) = x^2 + 6

finding inverse of the function

y = x^2 + 6

x = y^2 + 6

x - 6 = y^2

y = +- sqrt ( x- 6 )

since , f^-1 (x) = +- sqrt ( x- 6 )

that is 2 values this means inverse is not a function

domain of f is ( - infinity , + infinity )

range of f is [ 6 , infinity )

f(6) = 6^2 + 6

f(6) = 42

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