Let f, g and h be R- R functions, f(x) = 2x - 1, g(x) = 3x+1, and h(x) = x +1. Compute the following and show all steps. (a) f( x+ 1) (b) f(h(g(x)) (c) Prove that g: R→R is a One-One correspondence.

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Let f, g and h be R-R functions, f(x) = 2x-1, g(x) = 3x+1, and h(x) = x2 + 1. Compute the following and show all steps.
(a) f( x+ 1)
(b) f(h(g(x))
(c) Prove that g: RƏR is a One-One correspondence.
Transcribed Image Text:Let f, g and h be R-R functions, f(x) = 2x-1, g(x) = 3x+1, and h(x) = x2 + 1. Compute the following and show all steps. (a) f( x+ 1) (b) f(h(g(x)) (c) Prove that g: RƏR is a One-One correspondence.
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