If f(x) = 2x + 5 and g(x) = x^2 + 1 be two real functions, then describe each of the following functions: (i) fog (ii) gof (iii) fof (iv) f^2 Watch Solution
If f(x) = sin x and g(x) = 2x be two real functions, then describe gof and fog. Are these equal functions ? Watch Solution
Let f, g, h be real functions given by f(x) = sin x, g(x) = 2x and h(x) = cos x. Prove that fog = go(fh). Watch Solution
Let f be any real function and let g be a function given by g(x) = 2x. Prove that gof = f + f. Watch Solution
If f(x) = √(1 – x) and g(x) = loge x are two real functions, then describe functions fog and gof. Watch Solution
If f: (-π/2, π/2)→ R and g: [-1, 1] → R be defined as f(x) = tan x and g(x)=√(1-x^2) respectively. Describe fog and gof. Watch Solution
If f(x) = √(x + 3) and g(x) = x^2 +1 be two real functions, then find fog and gof. Watch Solution
Let f be a real function given by f(x)=√(x-2). Find each of the following: (i)fof (ii) fofof (iiii) fofof(38) (iv) f^2 Also, show that fof ≠ f^2 Watch Solution
Let f(x) = {1 + x, 0 ≤ x ≤ 2 ; ={3 – x, 2 less than x≤ 3 .Find fof. Watch Solution
If f, g: R → R be two functions defined as f(x) = |x| + x and g(x) = |x| – x for all x∈ R. Then, find fog and gof. Hence, find fog (-3),fog (5) and gof(-2). Watch Solution
