(ii) Find a simplified expression for( fg)(x), and find its domain.

ind a simplified expression for( fg)(x), and find its domain.

Find (f ◦ g)(x), (g ◦ f )(x), domain and range of (f ◦ g)(x).(a) f (x) = 2x + 4, g(x) = 3x − 5(b) f (x) = √x + 2, g(x) = 2x − 4(c) f (x) = 1x , g(x) = 1x(d) f (x) = x2, g(x) = x − 3(e) f (x) = x2 + 2, g(x) = √x − 4

Find the domain for (f+g)(x)(𝑓+𝑔)(𝑥) when f(x)=−x5x−6𝑓(𝑥)=-𝑥5𝑥-6 and g(x)=4x8x−3.𝑔(𝑥)=4𝑥8𝑥-3.

Find the functions and their domains. (Enter the domains in interval notation.)f(x) = x + 1x,    g(x) = x + 5x + 2(a)    f ∘ g(f ∘ g)(x)  = 2x2+14x+29(x+2)(x+5)​ domain    (−∞,−5)∪(−5,−2)∪(−2,∞) (b)    g ∘ f(g ∘ f)(x)  = domain    (c)    f ∘ f(f ∘ f)(x)  = domain    (d)    g ∘ g(g ∘ g)(x)  = domain

Consider the functions c( ) 3 sin osx xf x += where 0 ≤ x ≤ π and g (x) = 2x where x ∈  .(a) Find ( f  g)(x) .