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Home » Let f, g and h be functions from R to R. Show that (f + g) oh = foh + goh (f . g) oh = (foh) . (goh)
Let f, g and h be functions from R to R. Show that (f + g) oh = foh + goh (f . g) oh = (foh) . (goh)
CBSE | Class 12 | Exercise 1.3 | Maths | NCERT | Relations and Functions
Let f, g and h be functions from R to R. Show that (f + g) oh = foh + goh (f . g) oh = (foh) . (goh)

solution:

LHS = (f + g) gracious

= (f+g)(h(x))

= f(h(x)) + g(h(x))

= foh + goh

= RHS

Once more,

LHS = (f . g) gracious

= f.g(h(x))

= f(h(x)) . g(h(x))

= (foh) . (goh)

= RHS

i

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