Advertisements
Advertisements
प्रश्न
If f(x) = x2 – 1. Find fof
Advertisements
उत्तर
f(x) = x2 – 1
fof(x) = f(fx)) = f(x2 – 1)
= (x2 – 1)2 – 1;
= x4 – 2x2 + 1 – 1
= x4 – 2x2
APPEARS IN
संबंधित प्रश्न
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = 3 + x, g(x) = x – 4
If f(x) = 2x – 1, g(x) = `(x + 1)/(2)`, show that fog = gof = x
If f(x) = x2 – 1, g(x) = x – 2 find a, if gof(a) = 1
Let A, B, C ⊆ N and a function f: A → B be defined by f(x) = 2x + 1 and g: B → C be defined by g(x) = x2. Find the range of fog and gof.
Multiple choice question :
If f(x) = 2x2 and g(x) = `1/(3x)`, then fog is
Multiple choice question :
Let f and g be two function given by f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 7)} g = {(0, 2), (1, 0), (2, 4), (– 4, 2), (7, 0) then the range of fog is
Which condition is required for g∘f to be defined?
Which statement expresses that composition is not commutative in general?
For functions \(f,g,h:\mathbb{R}\to\mathbb{R}\), which identity is established for addition?
For functions \(f,g,h:\mathbb{R}\to\mathbb{R}\), which identity is established for multiplication?
