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Question Number 86030 by oustmuchiya@gmail.com last updated on 26/Mar/20
Tbe function f and g are defined by f(x)=2x−3 and g(x)=3x. Find (a) f^(−1) (x) (b) gf(x) (c) gf(2)
Tbefunctionfandgaredefinedbyf(x)=2x−3andg(x)=3x.Find(a)f−1(x)(b)gf(x)(c)gf(2)
Commented by Rio Michael last updated on 26/Mar/20
f: x → 2x−3 and g : x → 3x (a) let y = f(x) ⇒ y = 2x−3 or x = 2y − 3 ⇒ y = f^(−1) (x) = ((x + 3)/2) , x ∈ R (b) gf(x) = g[f(x)] = 3(2x−3) = 6x−9 (c) gf(2) = 6(2)−9 = 3
f:x→2x−3andg:x→3x(a)lety=f(x)⇒y=2x−3orx=2y−3⇒y=f−1(x)=x+32,x∈R(b)gf(x)=g[f(x)]=3(2x−3)=6x−9(c)gf(2)=6(2)−9=3

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