or the functions f (x)= x-3 13 find the composition f °g and simplify your answer as much as possible. Write the domain and g (x) = using interval notation.

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A:

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A: Topic = Functions

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A: Given:

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = ln(x − x2)

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Q: 8) For the function f(x) = Vx – 4 a. Graph f (x) b. Graph f-1(x) c. Write an equation for f-1(x)

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Q: Q2// Sketch the graph of the function defined by the formula 0, xS-1 f(x) ={V1-x2,-1<x<1 x , x21

A: We have to sketch using the function in the suitable intervals.

Q: Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

A: Use quotient rule for derivative

Q: Use the information about values of the functions and their derivatives to calculate G'(2), where…

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Q: Find Find the domain of G(x). (Enter your answer using interval notation.) (-0,0) U (0,00)

A: To find: The domain of fgx. Given: The function is fx=5x+6 and gx=xx+6. Concept used: The set of…

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A: Given: f(x)=3x-1015x-6, g(x)=1x To find:  f(g(x)) Domain of f(g(x))

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A: use the property of composite function

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A: f(u) = sqrt (u)         and g(x) = (x)^2 +2

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Q: et f(x) = Vx2 + v8. Find f'(1).

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Q: Find the absolute extreme values of the function on the interval. F(x) = , -2 -2 <xs 64 %3D

A: As per our guidelines, we are allowed to answer only the first question. Please upload another…

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A: See the details solution below

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Q: 10) For the function f(x)- x-4 a) Find f(-3) and f(a+1) b) Find the domain

A: a) f(-3) and f(a+1) is obtained by replacing x by -3 and a+1 respectively in given function

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Q: 3x Consider the function f(x) = x2 +4x-5 For what value(s) of x is the function undefined?

A: The given function,   fx=3xx2+4x-5

Q: (a) For what values of x is the function f(x) = |x² - 16| differentiable? (Enter your answer using…

A: Given function is f(x)=|x2-16|.

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Q: 3. Given the function g(x) = x - 2x2 + x, find the interval(s) when g is concave up and decreasing…

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Q: 16. Find the difference quotient for the function f(x)3x'. then %3D +x. simplify.

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Q: 481. For functions f(x) = x² – 15x + 45 anc g(x) = x – 9, find @ x) ()) (b (-2)

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Q: Find the domain of the function. (Enter your answer using interval notation.) k(x) =, Vx+4 x - 2

A: Given function k(x) = x+4x-2TO find : Domain of the function

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.