4x+1 I. Given that f(x)= and g(x) =- бх 3x -14x+15 , perform each of the following operations, simplify your x-3 result, and give the domain (in interval notation) of the combined function: a. (g-f)(x) b. |(x) b.

Q: When the function f(x) is divided by x + 2, the quotient is x² – x -8 and the remainder is -3. Find…

A: When a function is divided by (x+2), the quotient and the reminder is given we have to find the…

Q: For the function f (x) = x4 - 4x3 + 5, find the local and absolute extrema and any points of…

A:

Q: For f(x)=x^3-ax^2-×+8, find the x-intercepts

A:

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: For the function f(x)=x3/3-x2 - 24x+19 Determine the turning points and the values of the function…

A: Use the concept that at turning points the derivative of the function will be 0, as the slope will…

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

A: Concavity.

Q: Find the domain of the following function: 2x (x) = x2 – 9 Write your answer in interval notation.

A:

Q: For the piecewise function, find the values h(-6), h( - 3), h(1), and h(3). - 3x- 16, for x< -5 h(x)…

A: Given that a function h(x) and we find value if h(-6), h(-3),h(1),and h(3). We find value of h(x) at…

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: When the function f(x) is divided by 3x - 1, the quotient is 2a-3z + 6 and the remainder is 7. Find…

A: Dividend=divisor*quotient+remainder

Q: Find the domain of the function. v (x) = /-4x+28 Write your answer using interval notation.

A:

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

A:

Q: If f(x) = 21x + 21, find f'(3).

A: f (x)=21x+21 f'(x) = 21

Q: For the function ƒ(x) = 4x² + 1 find

A:

Q: Simplify the difference quotient et h+0, for f) -2x-x+2.

A:

Q: Graph the function f (x) = |r + 2| –- 3 When the domain is -4<I56

A: We have to graph the function f(x)=x+2-3 when the domain is -4≤x≤6.

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

A: Topic : concave upward and downward

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

A: Plot the curve for g(x).

Q: f(x) = *+5 x2+4

A: Given,         The function is fx=x+5x2+4 .

Q: DETERMINE q(-4) GIVEN THE FUNCTION X +3 X²+7x+12

A: Please see the below picture for detailed solution.

Q: find the function h such that h"(x)=36t2 + 24t - 4, h'(1)=-1and (-1)=1

A: Integrate the function                                                                    Find the…

Q: For the function f(x) = x2 /3 minus x2 - 24x + 19 (d) what is the range of values of the function…

A:

Q: For the function: f (x) = 3x² – 4x - 8, find and simplify f(x + h) – f(x).

A:

Q: Given the functions f (x) = 2x + 3 and g (x) = 3z2, find the following and state the domain. %3D %3D…

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Q: For the function f(x,y) = 5x - 6y - 6, find - of and

A:

Q: For the function f(x) = 4x* – 3x - 4x2 +9, find f'"(x). Then find f"(0) and f"(9). ... f"(x) =

A:

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

A: Given function is

Q: for the function f(x)=x2-2x-8, find the two points x when f(x) = 7 the answer should be in this…

A:

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

A:

Q: What number of rooms filled produces the maximum revenue?

A: Differentiate the given revenue function and quate it in to zero then solve for x. The. We get the…

Q: For the function f(x)=2x2+x, find f(-5).

A: f(x)=2x2+x

Q: For the function y = 3x2 + 9x + 4, at the point x = 8, find the following.

A: Given data:     The given expression is: y=3x2+9x+4. The given point is: x=8.     (a) The expression…

Q: For the function f(x) = −4x^2 + 3x − 1, find the following and simplify: f(-2)

A:

Q: For the function f(x)=8x2−18x+5, use f(x)=−4 to find two points that lie on the graph of the…

A:

Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= 10

A: Given function is fx=10

Q: For the functions f(x) = 3x − 4 and g(x) = x + 2, find the following and determine the domain in…

A: The detailed solution is as follows below:

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

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

Q: For the function f(x) = 7x° - 2x2 + 5x+6, find f"(x). Then find f'"(0) and f"(3). f"(x) =

A:

Q: The revenue R received by a company selling x td phones per week is given by the function…

A:

Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= 3x

A: The given function is fx=3x.

Q: Find f"(0) for the function f (x) = – 2xe-x Answer:

A:

Q: State the domain, using interval notation, of the piecewise-defined function x + 2 if 6 13.

A: Domain is related to set of x values.

Q: For f(x) = x - 2 and g (x) = 2x2 - 3x - 2, state the domain of  h(x) = f(x)/g(x). Write your answer…

A: h(x)=f(x)/g(x)Denominator can not be zero. So we try to factor the denominator.

Q: Given f (x) 3 and x²-1 g(x) 2x+7, find the following. ニ Of•9)(-3) )(fof)(-9)

A:

Q: When the function f(x) is divided by 4.x +9, the quotient is a and the remainder is-10. Find the…

A:

Q: Find the difference quotient,f(x+h)-f(x)/h , for the function and simplify it. p(x) = 2 - 4x^3

A: p(x) = 2 - 4x3 We need to Find the difference quotient,f(x+h)-f(x)/h , for the function and simplify…

Q: For the function f(x) = 7x-11x+ 11x+2, find f'"(x). Then find f"(0) and f"(5). f"(x) =

A:

Q: For the functions f(x) = square root of x - 3 and g(x) = square root if x + 2, find and determine…

A:

Q: For the piecewise function, find the values h(-8), h(-2), h(2), and h(6). -3x-16, for x< -7 h(x) = <…

A: The given piecewise continuous function is: h(x)=-3x-16,   for x&lt;-72,                 for…

Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10