Find `fog(2)`and `gof(1)`when: `f: R rarr R ;f(x)=x^2+8`and `g: R rarr – InterviewSolution

InterviewSolution

1.	Find `fog(2)`and `gof(1)`when: `f: R rarr R ;f(x)=x^2+8`and `g: R rarr R ;g(x)=3x^3+1.`
Answer» `f(x) = x^2+8` `g(x) = 3x^3+1` Now, `fog(2) = f(g(2)) = f(3(2^3)+1) = f(25) =25^2+8 = 625+8 = 633` `gof(1) = g(f(1)) = g(1^2+8) = g(9) = 3(9)^3+1 = 2187+1 = 2188`.

Discussion

No Comment Found

Related InterviewSolutions

If f:R → R and f(x) = x2 + 2x – 1, then state the type of function f.
If f:A → N, A = {500, 1000, 1300, 1400}, f(x) = \(\sqrt{5600−4x}\), XER then find the value of f(x) for x = 1000. Also, for which value of x, f(x) = 20?
If f(x) = \(\frac{2x−4}{x+7}\) is a real function then for which value of x the image is zero?
For a real function, f(x) = 6x3 – 5x + 15, find the value of f (O).
If f (x) = 2x2 + 1/x, x ∈ R; obtain the value of f(3) + f(-3).
What is the type of function f: A → B, wherein, for two different values of domain their functional values are same?(a) One-one function(b) Many-one function(c) One-many function(d) Many-many function
If f(x) = \(\frac{x^2−4}{x−2}\) where x ∈ Z – {2} then find the value of f(0) + f(1) – f(-2).
Which of the following statements is true for the relation g : X → Y, X = {- 1, 0}; Y = {2, 4}; g (x) = 4 – 2x ?(a) g is called a function.(b) g is not a function.(c) X is called function.(d) Y is called function.
If the domain of a function f: A → N ∪ {0}; f(x) = \(\sqrt{x^2−16}\) is A = {4, 5}, then find its range.
g: N → N, ‘subtract 2 from the elements of the domain’. Can this rule be called a function?