consider the functions f (x) =5/x and g(x)= x/x+2 A) evaluate and smiplify (f+g)(x) and state the domain b.) evaluate and smiplify (gxf)(x) and state is domain

Q: f(x+h) = √x+htt' - √XTY'

A: Given:- fx+h-fxh=x+h+4-x+4h

Q: Let f(x) = x + 2. Find equations for the following. For each part, identify what is the input and…

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Q: Use the functions f(x) = 2x^2+1 and g(x) = 3x+5 to evaluate the composite function. f(g(2))

A: g(x) = 3x + 5 So, g(2) = 3×2 + 5 = 11

Q: Use the functions below to evaluate and simplify the function compositions. ƒ₁(x) = 4x² – 3x − 1,…

A: Given : f2(x)=7x2-3x-10   To Find : (f2ο f2)(-1)

Q: f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the…

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Q: Find the ain of the composite function f og. dom f(x) = 5x + 20; g(x) = x + 7 %3D

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Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 - 2. (f + g)(t - 8) (f + g)(t - 8) =

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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.