Question 3 Let the functions h : N → Z and g : Z → Z be given by the rules h(x) = x2 – 5 and 9(x) = (x + 4)6. (a) Prove that h is one-to-one. (b) Show that h is not onto. (c) Showing all your working and reducing your expression as much as possible give the function rule for g o h. (d) Show that goh is not 0(x).

Q: 1. R(t) is an even function of t

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Q: Use the graph of the function to answer the following questions.

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Q: 22

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Q: please explain step by step, each concept in detail

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.