1. Write the interval notation equivalent to {x|x > -5 and x 3}.

Q: What is the domain of the function g(x)=x2-3 use interval notation

A: Given: gx=x2-3 The domain of a function g(x) is the set of all values for which the function is…

Q: 8х + 7 State the domain of the function f(x) = in interval notation. 9х + 2

A: A detailed solution is given below

Q: 4. Use absolute value notation to describe The distance between x and -10 is at least 6.

A: In this question we have to find the solution of the given statement.

Q: Find the domain and express it by interval notation.

A: We have to find the domain .

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: Find the specified domain and express it in interval notation. For f(x) = x2 – 64 and g(x) = 2x +3,…

A:

Q: Find the intervals on which f (x) = x(x + 2)(x − 3) is positive by plotting a graph.

A: The graph of the given function is shown in the figure below.

Q: If 120 feet of fence is to be used to enclose a rectangular yard, then the resulting area of the…

A: The resulting area of the fenced yard is given by, A = x(60 − x), where x is the width of the…

Q: Find (fog)(x), and write the domain of (fog)(x) in interval notation. 3 a) (5 points) f(x): 8(x) =…

A: We have to find domain of composition function and we have to find composition function (fog)(x)

Q: The range of 4x +y = 4 is Blank 1 (Use interval notation) +y2 =

A:

Q: wrie the domain in interval notation. f(x)=1/square root of 8-x

A: Recall that, "only nonnegative number can have the even root". So, the radicand 8-x in the…

Q: Consider the function f(x)=4x2+9 for x≤0. What is the domain of f−1(x)? answer in interval…

A:

Q: 1.Use interval notation to determine f(x)

A: Concept: The graph of a function: The graph of a function is the set of all points (x,y) in the…

Q: Given f(x) = - 12√x + fractions. f'(x) = The domain of f'(x) is 20 X 18, find f'(x) and its domain…

A:

Q: What is the domain of B in interval notation?

A: To find the domain in the interval notation of the following function,

Q: Find the open intervals where ƒ is increasing or decreasing.

A: To find the  open intervals where ƒ is increasing or decreasing. Given that the function is…

Q: 5) State the intervals of concavity in the function g(x) = (x – 9) 2/3.

A: Answer and explanation is given below

Q: Find the domain and express it as an interval

A:

Q: 13. In the table of signs, interval 0 < x<÷, is the function increasing or decreasing?

A: A function f(x) is decreasing on the interval (a , b)  if f '(x)&lt;0  for every x in (a , b)

Q: Write the domain in interval notation. (a) k (x) =-3 x+4 x+4 (b) j(x) = x+3 x+4 (C) p (x) =

A: Domain of a function is a set of all the input values it can take for which the function remains…

Q: Use the function f(x)=x^2-4 and g(x)=2x+20 and answer part (a) below (a) Solve f(x)&gt;g(x) What is…

A: Given functions are,

Q: Write the domain in interval notation. x-3 (a) f(x) x-4 x- 3 (b) g (x) : x¯-4 x- 3 (c) h (x) = 2…

A: Domain is defined as the set of values of x for which the function is defined.

Q: Can you help me find the x-coordinates of the absolute max and min given the equation:  f(x) = -10…

A: Consider the given function, fx=-10-5x-9x differentiate the function with respect to x,…

Q: 120 feet of fence is to be used to enclose a rectangular yard, then the resulting area of the fenced…

A:

Q: If a box with a square cross section is to be sent by the postal service, there are restrictions on…

A: volume of the box,V(x)=x2104-4x

Q: Write the domain in interval notation. (a) w (x) = |x+2| + 8 (b) y (x) = E+2 +8 (c) z (x) =

A: To find domain of the given functions in interval notation. a). wx=x+2+8 b). yx=xx+2+8 c). zx=xx-2-8…

Q: Write the domain in interval notation. (a) w (x) – |x+2 +8 (b) y (x) = x+2 -8 EX (c) z (x) =

A: Given function is: The domain of a function f(x) is the et of all values of x for which the…

Q: f(x)%3D2X-1

A: Given, f(x) = 2x-1

Q: Find the domain and express it in interval notation

A: Domain:                      Domain is the set of input values where for which the function is…

Q: 5. Use the graph of f(x) = x' - 2x and g(x) =x to answer the questions. (a) For what values of x is…

A: Given that, f(x)=x3-2x, g(x)=x For f(x)=g(x), we have, x3-2x=x⇒x3-3x=0⇒x(x2-3)=0 This gives x=0, ±3…

Q: For Exercise, write the domain in interval notation. 4 h(x) : V3 – x — х

A: We can not have negative number under the square root and we can not have 0 as denominator too.

Q: Find the intervals on which f(x) = - (x+ 2)(x + 0.5)(x – 3.5) is positive by plotting a graph. f(x)…

A: follow next step

Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

A:

Q: Determine the domain of f(r) and write it in interval notation. V2 – S(a) = r + 3

A:

Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: For Exercise, write the domain in interval notation. 1 m(x) = 3 + In- Vii – x

A:

Q: I+ 4 Give the domain for h(x) = in interval notation. x2 6x 27

A:

Q: Write the domain in interval notation. (a) r (x) =x-4x-12 x-4x-12 (b) s (x) = %3D x+1 x+1 (c) t (x)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: For what value of x does the function f(x) .3 = -X 4x attain the absolute maximum in the interval…

A: An absolute extremum of a function in a  given interval is the point at which a maximum or minimum…

Q: For what value of x does the function g(x) = (x2 - 4)² attain the absolute maximum in the interval…

A: we have to find absolute maximum

Q: Given the function k (x) = 2x³ – 9x² + 12x + 9. Find the interval when k (x) is concave upward.…

A:

Q: Algebraically, find the intervals of concavity (interval notation) and inflection points as ordered…

A:

Q: Consider the function f(x)=2x^2−2 for x≥0. What is the domain of f−1(x)?  answer in interval…

A: Domain set of all input values where f defined Range set of all output values

Q: Find (fog)(x), and write the domain of (fog)(x) in interval notation. 3 a) f(x) = %3D x2- 16' 8(x) =…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find Find the domain of (Enter your answer using interval notation.)

A:

Q: Find the open intervals where f is increasing or decreasing.ƒ(x)=20 - 2x - x2

A: Consider the given function fx=20-2x-x2. Obtain the derivative of the given function as follows.…

Q: 8х + 7 State the domain of the function f(x) in interval notation. 9ж + 2

A: Given,f(x)=8x+79x+2

Q: Express the following in interval notation. {x | 4<x<6} The set in interval notation is

A:

Q: 2. Determine the domain and range of h(x) =

A:

Q: (a) Find a number x in the closed interval , such that the sum of the number and its reciprocal is…

A: A continuous function f on a closed interval a,b has both absolute maximum (largest ) and absolute…