v) Given that the expression for the composite function, i[h(x)], can be written in the rm: V(ax + b) + 1 or (ax + b)'2 + 1; where, 'a' and 'b' are constants; find the values of 'a' nd 'b' .

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 3SE: If the order is reversed when composing two functions, can the result ever be the same as the answer...
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Please assist with part v (5)

3) Given that h(x)= /(4x +3) or h(x) = (4x +3)7 and i(x)= 3x+1.
i). Evaluate h(- )
ii). Determine i(0)
iii). Find an expression for the composite function: h[i(x)]
iv) Find the inverse of h(x) = /(4x +3)
v) Given that the expression for the composite function, i[h(x)], can be written in the
form: V(ax + b) + 1 or (ax +b)'2 + 1; where, 'a' and 'b' are constants; find the values of 'a'
and 'b'.
Transcribed Image Text:3) Given that h(x)= /(4x +3) or h(x) = (4x +3)7 and i(x)= 3x+1. i). Evaluate h(- ) ii). Determine i(0) iii). Find an expression for the composite function: h[i(x)] iv) Find the inverse of h(x) = /(4x +3) v) Given that the expression for the composite function, i[h(x)], can be written in the form: V(ax + b) + 1 or (ax +b)'2 + 1; where, 'a' and 'b' are constants; find the values of 'a' and 'b'.
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