Grade 11Differential Calculus
If f : A —> B, g : B —> C then what is the domain and codomain of (fog)(x)?
If f : A —> B, g : B —> C then what is the domain and codomain of (fog)(x)?
1 Answer
Abhishek Singh
fog(x) is defined iff Range of g(x) lies within Domain of f(x) ==> For it to be defined we require 
.
Now, Domain of fog(x) is same as g(x) ==> Domain = B
Codomain of fog(x) is same as codomain of f(x) ==> Codomain = B
Other Related Questions on differential calculus
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?
differential calculus
Last Activity: 3 Years ago
Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.
Find dy/DX when y=x^sinx+sin-1√x.
Please give me the solution of this problem.
differential calculus
Last Activity: 4 Years ago
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
Last Activity: 4 Years ago
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
Last Activity: 4 Years ago
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
Last Activity: 4 Years ago