Express each function as a composition of two functions. (Find f(x) and g(x) such that the...

Transcribed Image Text:

Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (fog)(x). Assume g(x) = x.) (a) F(x)=√√2x + 8 f(x) g(x) = (b) = g(x) f(x) = (c) G(X) = |2x - 81 = H(x) = (ax + b)³ f(x) = g(x) = (d) T(x) = 9/√x f(x) = g(x) = k Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (fog)(x). Assume g(x) = x.) (a) F(x)=√√2x + 8 f(x) g(x) = (b) = g(x) f(x) = (c) G(X) = |2x - 81 = H(x) = (ax + b)³ f(x) = g(x) = (d) T(x) = 9/√x f(x) = g(x) = k

Answer rating: 100% (QA)

SOLUTION a Fx 2x 813 Let gx 2x 8 and fx x13 Then we have f gx fgx f2x 8 2x 813 Fx So fx ... View the full answer