Find the domain of the function f(x) = √x + 6/x2 - 4.

Q: What is a reasonable domain for the function f(x) = 14x + 12?

A: A reasonable domain for the function f(x)=14x+12 is 0<x<8

Q: Find the domain of f and write your answer in interval notation. f(x)%3D6/3-4z +7

A: Given function is: f(x) = 6 sqrt(3 - 4x) + 7 The above function is defined only when: 3 - 4x >= 0…

Q: Use f(x) = 5x - 2 and g(x) = 3 - x² to evaluate the expression. (a) f(f{2))

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Q: What effect does the “k” in f(x)= √x+k have on the graph of the square root function, √x and why ?

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given, the function g(x) = 3x3 – 9x, we have to check whether the function is concave upward or…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Concavity.

Q: Find the range and domain of the function, f(x,y) = sqaure root of (36-x2-y2)

A: Given function is f(x,y)=36-x2-y2We have to find the domain and range of…

Q: ) Determine algebraically whether f(x) = 2x5 – 7x² is even, odd, or neither.

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Q: a. What is the domain of the function f(x)= (−4x) / √(5x−9)?  b. What is the domain of the function…

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Q: Find the domain of the function f(x) = V15x – 3. %3D - (Write the domain in interval notation.)

A: Given function is fx=15x-34. To find the domain of the function. Solution: We have function…

Q: 1 E. Is a zero of f(x) = 2r* + 3x² – 6x + 7? Explain.

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Q: differentiate the expression with respect to x, assum- ing that y = f (x) 5. (x2+y2)3/2

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Q: g(x) = v2 – 3x %3D

A:

Q: Find the domain of f and write your answer in interval notation. 6x + 13 f(x) = T2 -6x 27

A: fx=6x+13x2-6x-27

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: snip

A: To determine whether 13 is a zero of fx=4x3-5x2-3x+1. Solution: Factor theorem states that if x-a is…

Q: Find the domain of the function f(x)=14x+9f(x)=14x+9. What is the only value of xx not in the…

A: Given function is f(x)=14x+9

Q: Find the domain of the function. Express the exact answer using interval notation. f (x) = 9x+8

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Q: What is the value of x at which f(x) = -5x2+4x+17 has an extremum?

A: We have to find for what value of x it gives extremum

Q: What is f(12) for the function f(x) = 2x + 3 ?

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Q: If f(x) = 2−2x, what is f(5)?

A: We find value of function for specific value of x.

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: 1 Is a zero of f(x) = 2r³ + 3x² – 6x + 7? Explain. 3

A: We have to check whether 13 is a zero of fx=2x3+3x2-6x+7, or not.

Q: In the function:  f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation.  What…

A: Denominator of the function can not be equal to 0.

Q: What is f(3) for the function f(x) = 4x + 7? f(3) =

A: Put value in function

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Topic : concave upward and downward

Q: What is f′(x) when f(x)=7^9x?

A: If the given function is g(x)= af(x)  then its derivative is given as- g'(x)=af(x) (logea)(f'(x)) We…

Q: Find f(9(x)) when f(x) = 2x +1 and g(r) = 2? +

A: On solving this we will get

Q: What does f(x) approach as x approaches + infinity in the equation 6x raised to the 4th +7x…

A:

Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= x2

A: Given function: f(x)=x2

Q: Find the inflection points of f(x) = x4 + 5x³ – 9x? + 13. (Give your answers as a comma separated…

A:

Q: snip

A: Is 13 is a zero of fx=2x3+3x2-6x+7 ? Explain.

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: find f '(x) using the definition of the derivate if f(x)= (4)/2x+3

A: We are given the function,                        f(x)= (4)/2x+3. We need to find f '(x) using the…

Q: 16) - f(x) = %3D

A: (g) To find: The derivative of the function f(x)=7x. Concept used: Power rule of differentiation:…

Q: Which is a reasonable domain for the function f(x) = 14x + 12?

A: our objective is to find the domain

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: 82. If f(x) = (1 + x')30, what is f (58 (0)?

A:

Q: What is the domain for f(x)=sq root (x2+1)?

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: Give the domain for  g(x)=x+2/x^2−3x−40 in interval notation.

A:

Q: What is the domain of * f (x) = /25 – x²?

A: Domain of a function is the set of input or argument values for which the function is real and…

Q: For the function z) =-3x+8 determine x when Ax) =-25,

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Q: . What is the domain of v15z -3r? State your answers in interval notation.

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Q: What is the greatest value of f(x) = 2x3 - 9x2 + 12x   in the interval 0 ≤ x ≤ 3?

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Q: Determine the domain and range of the quadratic function. f (x) = –4(x + 1)² – 5 Enter your answer…

A: Givenf(x)=-4(x+1)2-5

Q: Give the domain for g(x)=x+4/x^2−9x+20 in interval notation.

A: Given: gx=x+4x2-9x+20 We know that for rational function denominator will not be equal to zero

Q: What is the leading term of f(x) - 3)(3x + 5)*?

A:

Q: Find the inflection points of f(x) = 4x + 39 – 15aæ? + 8. (Give your an

A: We can find the inflection points as below.

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.