6) Determine the domain and range of the function f(x) = 1+ Vx - 2. State your answer using interval notation. The domain is: The range is:

Q: Using interval notation, the domain of f(x) = log, x is and the range is

A: Given function is  fx=logbx.

Q: 4) Given the one-to-one function f(x) = %3D x+2 Find f and determine its domain and range.

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1/x-1

A:

Q: Find the domain and range of the function f(x) = −∣x + 1∣

A:

Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: 3

A: Given that: The length of the function isfx=251-2x Substitute the value x=3 in the given function,…

Q: Find the domain of the function. Give result in interval notation  f(x) = 8/√8−4x

A:

Q: Find the domain and the range of the real function f defined by f (x) = x –1 .

A: We first make a table for the function  x 0 1 2 3 f(x) -1 0 1 2 Then we sketch the function…

Q: 15. Find the difference quotient f(x+h) – f(x) for the function f(x) = -x² + 2x +1. h

A: The given function is fx=-x2+2x+1To find difference quotient fx+h-fxh

Q: Find the absolute maximum and minimum values of f in the given interval. f(x) = x* – 2x² + 1, (-2,…

A: Our Aim is to find the absolute maximum and minimum values of f inthe given interval…

Q: find the domain and range of the function.f (x) = −x

A: Given: fx=-x To Find: The domain and range of the given function

Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: snip

A: Find the domain of the function.         fx=x-1x+4

Q: The function f (x) is in the interval

A: As per the given graph we see that there is no break or discontinuity in the graph of the function…

Q: (a) write formulas for ƒ  g and g  ƒ and find the (b) domain and (c) range of each.

A:

Q: A function f(x) is given as follows: 2x +1 f(x) = 3x - 1 f-(1) =?

A:

Q: Consider the functions f(x) = y3x - 4 and g(x) Vx2 - 16. Find the domain of f(x) and g(x) in…

A:

Q: Find the domain and range of the function F(x)= sgn([x]+1)

A: Given: To find the domain and range of the goven functionF(x)=sgn([x]+1)

Q: 5. Find all points of inflection of the function g(x) = x²e¬x.

A: using double derivative

Q: What is the value "L", if exists, when a variable "x" in f(x) approaches a certain number "d" in the…

A: Given: A function fx is given. To Find: What is the value "L", if exists, when a variable "x" in…

Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

A:

Q: Find the domain of the function. 9. if x=2 f(x) = x2 if 1<x< 2 The domain is (Type your answer in…

A: Domain

Q: Consider for what value of x are the function, f(x) = is defined? 5-x

A:

Q: Find the domain of the function in interval notation: f(x) = 1 I+3

A:

Q: Find the interval where the function is increasing, decreasing, concave up, concave down and the…

A: the interval where the function is increasing, decreasing, concave up, concave down and the…

Q: Determine the intervals upon which the given function is increasing or decreasing. f(x) = 3r + 12x?

A: The given function fx=3x3+12x2 differentiate with respect to x f'x=9x2+24x       =3x3x+8

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

A: To find the domain and range of the given function.

Q: Let g(x,y)=y−6/(x+2)^2 Indicate the range of g using interval notation

A: To find the range of the below function. gx,y=y−6x+22

Q: 2. Find and sketch the domain of the following function f(x,y) = 4– x² – y2 + V1- x2

A: Consider the given function as fx,y=4-x2-y2+1-x2

Q: Find the indicated function and write its domain in interval notation. 34) f(x) =- 9 g(x) =14 - x,…

A: (fog)x is defined as f(gx) And (gof) x is defined as g(fx)

Q: For what values of x is the function f(x) = x* - 2x? strictly increasing?

A: fx=x4-2x2 Differentiating with respect to x, we get f'x=4x3-22x=4x3-4x

Q: Find the domain of the function in interval notation: f(x) = V + 17 %3D

A: Domain is the set of x values for which the function is defined We know that square root (negative…

Q: B. Find the domain of each function. 1. f(x)=1+x 2. f(x)=1- 3, h(x)= -4

A: We find domain of given functions from 1-3(as by Bartleby policy I have to solve first 3 subparts)…

Q: 4. If f(x) = ax' +bx', determine a and b so that the graph of f will have a point of inflection at…

A: we need to determine the values of a and b.

Q: The domain of the function f(x) = cosh + 19) + cosh¯1( 19 - ) is [-378 , A], Then The value of k =…

A:

Q: 20 Which value of æ is NOT in the domain of the function f(x) – 8x - ? 18

A:

Q: Given the function f(x) = -x* + 8x? + 2, determine the absolute maximum value of f on the closed…

A:

Q: The domain of the function f(x)= sech( -8) is ( 160, A], Then The value of k = %3D

A:

Q: Find the domain of the function 1 f (x) = - 1

A:

Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: What is the domain and range of the function? Sketch the domain. f(x,y) = -(ln(x2+y2-9))2-9

A: We need to find the domain of the given function. Note that "ln" is defined only for positive…

Q: Find the domain of the following function. Express the domain in interval notation. x+7 f(x) = x - 4

A:

Q: The function f(x)%= has a point of inflection when a = 0.

A:

Q: 11. Find the difference quotient for the function f(x)=(x+1), then simplify.

A:

Q: ) Determine the Range of the function g(x) = x³ for the Domain: {-1,0,1}

A:

Q: Find the domain and range of the function.

A:

Q: ind the x coordinate of the point of inflection of the function f(x)=x3-x2-x+1

A:

Q: 2. Let f be the function defined by 9) f (x) = x²+2x+1 ,Find: -f (3) +fヒ3)

A:

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A:

Q: Determine the domain and range of the following function in interval notation. f (x) = 3- Vx² + 16

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.