R(x) = (x-2)2

Q: Find the domain of the function    f(x)= 31x/x-3

A: For any rational function the denominator can not be 0.

Q: Find the domain of the function: f(x) = x2 - 7x

A: Given   The function is f(x) = x2 - 7x

Q: In the given question , find the two x-intercepts of the function f and show that f'(x)=0 at some…

A:

Q: For the function f(x) = V - 6, find f-(x).

A: Given : f ( x ) = x ( 1/4)  - 6  find : f - 1  ( x ) = ?

Q: Find the domain of the function f(x) = √(25 − x2).

A: The given function is fx=25-x2

Q: Find the domain of the function : f(x) = x2 - 2x - 15

A:

Q: Find the domain and range of the function. ∫(x) = 1/x2

A: A function f includes all x values in its domain where it has the finite value of f(x). In the given…

Q: Find the domain of the function f(x) = /x² – 2x – 15

A: Domain:  "The set of all possible values of ' x '  for which the function 'f(x)' is defined." (.)…

Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: The given function is fx=16x4-15x2.

Q: Find x- and y-intercepts for f(x)=(x+2)2(x-1)

A: Topic- function

Q: Find the domain of the function : f(x) = x / (x2 + 4x - 21)

A: Given: fx=xx2+4x-21 we know that if hx=pxqx then domain of hx will be all values of x except qx=0…

Q: Given the function g(x) = (x – 5)(x + 4)(x – 2) its g-intercept is 40 its a-intercepts are

A: The function is given by gx = x-5x+4x-2 To evaluate : g-intercept and x-intercepts

Q: Find the domain of the function f(x) =x/(x2 + 4x - 21)

A: fx=xx2+4x-21

Q: The range of f(x)= 3+|x| is

A:

Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

A:

Q: Find the domain and Range f (x 2 x-3x

A: To find the domain and range

Q: Given the function defined by f(x) = 3x² - 4, find f'(2)

A:

Q: Given the function f(x)=-3x+4, find f(-2)

A: A function defines a relation in which for each input, there is exactly one output.

Q: Evaluate the function at the given value of the indépendant variable and simplify . g(x)=x^2-10x-3…

A:

Q: For the function f(x) = , find f-'(x). 9

A: Given,          The function is fx=x79.

Q: Determine the end behavior of the function f (x) : x³ + 3x2- x - 3

A:

Q: Find the range of the function f(x) = x² - 2x - 4.

A:

Q: Find the x-intercepts for f (x) = x³ – 9x.

A: The solution of the problem is given in the next step.

Q: find the Domain and Range: f(x) = V1-2x

A:

Q: Find the domain and range of the function. f(x) = 3x

A: Given: f(x) = 3x To find: Domain and range of the given function.

Q: Find the domain of the function f(x) = x2 - 2x - 15

A: Given,          fx=x2-2x-15

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: If f(x) = ax + b with a + 0, how are the zero of f and the x-coordinate of the x-intercept of the…

A: To find x-intercept of a function f(x), we put f(x)=0. To find zeroes of f(x), we put f(x)=0. i.e.…

Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

A:

Q: Let f(x)= 56-2) (x+1 What is the domain? b find all x-intercepts OFind y-intercept if it exists?

A:

Q: Find the domain of the function.

A: We can find the domain of the rational function  by finding where the function is defined . The…

Q: Find the intervals of increase and decrease for the given function. f (x) = x2 + 4x + 3

A: A function is  increasing on an interval, where the value of the first derivative of the function…

Q: For the function f(x) = -4x find ƒ–1(x). 2x-3'

A:

Q: Given the function f(x)= x² + 2x+1, find f(-2).

A: Put x= -2 in f(x)

Q: Find the domain of the function. f(x) = x / (x2 + 2x - 3 )

A: We have the given rational expression as fx=xx2+2x-3 Domain is the set, or interval, of numbers for…

Q: Find all the possible x-values of f(x)=√x - 2

A:

Q: For the function f(x) = 7x", find ƒ-'(x).

A: Given,         The function is fx=7x7 .

Q: Find all x-intercepts of the function f ( x ) = ( x + 3 ) ( x − 4 ) ( x − 9 ).

A: Since, our aim is to find all x-intercepts of the function given below:-f(x)= (x+3)(x-4)(x-9)   -(i)

Q: For the given function, determine the y-intercept value f(x)=7x^3+7x-4-9x^2

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Q: Given the function f(x) = -x2+2x+6, find f(1) and f(4). Compare the values.

A:

Q: Find f”(x) for the function f(x)= -4x^2-4x-9

A:

Q: For the function f(x) = (x+1)2x-3 What is the range of f?

A: given function f(x)=(x+1)2x-3 which can be written as f(x)=(x+1)2x3

Q: Find the domain of the function. F(x) = x-2/ x3 + x

A: To findDomain of functionf(x)=x-2x3+x

Q: Find the domain of the function.

A: Given, h(x)=4-x+x2-1

Q: Find the domain and range of the function. f(x) = x3

A: the given function is: fx=x3 we have to find the domain and range of the given function.   as we…

Q: Find the domain of the function.

A: Given: fx=1x-3 To Find: Domain of the given function

Q: Find the stationary points and stationary values of the function f (x)=2x'+x² - 20x +5.

A:

Q: Find all x-intercepts of the function. Express your answer as a list of x-values. f(x) 6x3 + x2 42x…

A: To find x-intercepts we take f(x)=0 Then we factories the equation

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.