Find the composition of the functions given below.
1) If f(x) = 3x - 5 and g(x) = x2, find (f∘g) (x).
2) Let f(x) = -3x + 7 and g(x) = 2x2 - 8, find (f∘g) (x) and (g∘f) (x). Solution
3) If f(x) = -9x - 9 and g(x) = √(x - 9), find (f∘g) (x).
4) If f(x) = -2x + 1 and g(x) = √(x2 - 9), find
(i) (f∘g) (x) and
(ii) (g∘f) (x) Solution
5) If f(x) = -2x + 1 and g(x) = √(x2 - 5), find
(i) (f∘g) (x) and
(ii) (g∘f) (x) Solution
6) Given f(x) = -9x + 3 and g(x) = x4, find (f ∘ g)(x)
7) Given f(x) = 2x – 5 and g(x) = x + 2, find (f ∘ g)(x)
8) Given f(x) = x2 + 7 and g(x) = x - 3, find (f ∘ g)(x)
9) Given f(x) = 4x + 3 and g(x) = x2, find (g ∘ f)(x)
10) Given f(x) = x – 1 and g(x) = x2 + 2x - 8, find (g ∘ f)(x)
1) Let f(x) = x2 - 1 and let g(x) = √x. Find the domain of the composition functions
(i) g∘f
(ii) f∘g Solution
2) Let
f(x) = 1/(x2 - 1) and g(x) = √(x - 2)
Find the domain of f(g(x)) Solution
3) Let
f(x) = √(x + 2) and g(x) = x2
Find the domain of f(g(x)). Solution
Check the pair of functions are inverses to each other.
1) f(x) = 4x + 3 and g(x) = (x - 3)/4 Solution
2) f(x) = x3 + 1 and g(x) = ∛(x-1) Solution
3) f(x) = √(x - 3) and g(x) = x2 + 3, x ≥ 0 Solution
4) f(x) = (4x + 4)/(x + 5) and g(x) = (4 - 5x)/(x - 4)
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM