Mazon04idn
Answered

Makakuha ng mga sagot sa iyong mga pinakamahahalagang tanong sa IDNStudy.com. Ang aming platform ay idinisenyo upang magbigay ng mabilis at eksaktong sagot sa lahat ng iyong mga tanong.

Find the inverse of f. Determine the domain and range of each resulting inverse functions.
3. f(x) = x+2
Solution:

Domain
Range

4. f(x) = x² + 2
Solution:

Domain
Range

5. f(x) = √1+xX
Solution:

Domain
Range​

Find The Inverse Of F Determine The Domain And Range Of Each Resulting Inverse Functions3 Fx X2Solution Domain Range 4 Fx X 2 SolutionDomain Range 5 Fx 1xX Solu class=

Sagot :

Step-by-step explanation:

Find the inverse of f. Determine the domain and range of each resulting inverse functions.

3. f(x) = x+2

Solution:

Domain

Range

4. f(x) = x² + 2

Solution:

Domain

Range

5. f(x) = √1+xX

Solution:

Domain

RangeFind the inverse of f. Determine the domain and range of each resulting inverse functions.

3. f(x) = x+2

Solution:

Domain

Range

4. f(x) = x² + 2

Solution:

Domain

Range

5. f(x) = √1+xX

Solution:

Domain

Range

XHephaestusidn

Find the inverse of f. Determine the domain and range of each resulting inverse functions.

3. f(x) = x+2

Solution:

y = x+2

interchange x and y;

x = y+2

subtract 2 to both sides of the equation;

x-2 = y

rewrite y as f^-1(x);

[tex]Answer = f^-1(x) = x-2[/tex]

[tex]Domain = {X|x∈ℝ}[/tex]

[tex]Range = {X|x∈ℝ}[/tex]

4. f(x) = x² + 2

Solution:

y = x² + 2

interchange x and y;

x = y² + 2

subtract 2 to both sides of the equation;

x-2 = y²

take the square root of both sides of the equation;

√(x-2) = √(y)²

the square root and the 2 power degree of y will negate;

y = √(x-2)

rewrite y as f^-1(x);

[tex]Answer = f^-1(x) = \sqrt{(x-2)}[/tex]

[tex]Domain = {X| x \geqslant 2}[/tex]

[tex]Range \: = Y|y \geqslant 0[/tex]

5. f(x) = √1+x

Solution:

y = √1+x

interchange x and y;

x = √1+y

square both sides of the equation;

x² = 1+y

subtract 1 to both sides of the equation;

x²-1 = y

rewrite y as f^-1(x);

[tex]Answer = f^-1(x) = x²-1[/tex]

[tex]Domain=X∣x∈R[/tex]

[tex]Range = Y|y≥-1[/tex]

Ang iyong kontribusyon ay napakahalaga sa amin. Huwag kalimutang bumalik upang magtanong at matuto ng mga bagong bagay. Sama-sama tayong magpapaunlad ng kaalaman para sa lahat. Bawat tanong ay may sagot sa IDNStudy.com. Salamat sa pagpili sa amin at sa muling pagkikita.