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 ofh(x) = /(4x +3) v) Given that the expression for the composite function, i[h(x)], can be written in the form: (ax +b) + 1 or (ax + b)'2 + 1; where, 'a' and 'b' are constants; find the values of 'a' and 'b'.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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Please assist from questions 1-5 thank you

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 ofh(x) = /(4x +3)
v) Given that the expression for the composite function, i[h(x)], can be written in the
form: (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 ofh(x) = /(4x +3) v) Given that the expression for the composite function, i[h(x)], can be written in the form: (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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