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.

Q: For multiple choice questions 6-10 please use the following information: f(x) = x² and g(x) = x + 3.…

A: Given information:Two functions:  and .To Find:The equations of the composite functions:6) .7) .…

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Q: Let f(z) - 4z-1 pnd alz) - ar+b, where a pnd b are positive constants. If the composite

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A: u(w(3))=-33

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Q: example of two functions t₁ (n) and t₂(n) that satisfy the relations t₁(n) w(n²), t₂(n) = w(n²) and…

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Q: 2. (a) (5 points) Let f(x) = Vr +1 and g(x) = x² + 2x. Find (f o g)(1) and (go f)(1). %3D %3D 1+ x…

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Q: sketch h(x)=-x2-4 as a translation and reflection of f(x)=x2

A: h(x) =-x2 -4 is transformed and reflected graph of the parent function f(x)=x2 The graph h(x) is…

Q: fix+ h)-x) Compute (h 0) for the given function. f(x) =

A: Consider the function: fx=19x To calculate f (x+h), fx+h=19x+h