Question

write the statement and Proof of theorem on Composite . Function Inverse Function and parametric Function​

Answer 1

Answer:

To find the inverse function, switch the xx and yy values, and then solve for yy.

LEARNING OBJECTIVES

Calculate the formula of an function’s inverse by switching xx and yy and then solving for yy.

KEY TAKEAWAYS

Key Points

An inverse function reverses the inputs and outputs.

To find the inverse formula of a function, write it in the form of yy and xx, switch yy and xx, and then solve for yy.

Some functions have no inverse function, as a function cannot have multiple outputs.

Key Terms

inverse function: A function that does exactly the opposite of another

Definition of Inverse Function

An inverse function, which is notated f−1(x)f−1(x), is defined as the inverse function of f(x)f(x) if it consistently reverses the f(x)f(x) process. That is, if f(x)f(x) turns aa into bb, then f−1(x)f−1(x) must turn bb into aa. More concisely and formally, f−1(x)f−1(x) is the inverse function of f(x)f(x) if:

f(f−1(x))=xf(f−1(x))=x

Below is a mapping of function f(x)f(x)  and its inverse function, f−1(x)f−1(x).  Notice that the ordered pairs are reversed from the original function to its inverse.  Because f(x)f(x) maps 

Step-by-step explanation:

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