Use the simplified form of the difference of a quotient to evaluate when x = 5 and h = 0.01 for the function below. f(x + h) – f(x) h f (x) = x² + 4x – 3

Q: Differentiate the function

A: The given function is shown below:

Q: The value of the function f(x) = 3x - 7 at 5 is________

A: Given function is: f(x) = 3x - 7

Q: Find f-1(x) for f(x)=5+12x Enter the exact answer

A:

Q: Express the function in the form f ∘ g.

A: Given: Gx=x2x2+4. Let, fx=xx+1 and gx=x2. Then, Gx can be expressed as, f∘g=fgx       =fx2…

Q: . Use the table to write a function rule for h(x). -3 -2 -1 1 f(x)=2x+1 g(x)=5x – 6

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: 4. (x) = x(x – 1) - 4x* – 3x* + 2x)

A: We have to find the value of degree, leading term, leading coefficient, and constant term of the…

Q: f(x) = x + 4x + 3 for function (f')-'(8) =?

A: The given function is: f(x)=x2+4x+3 Therefore the derivative of this function is: f'(x)=2x+4

Q: What is f (-1) for the function given? f (x) = x2 - 3x + 8

A:

Q: Determine where the function is concave upward and where it is concave downward. g(x) = -x² + 9x + 3

A: if second derivative is positive in any interval then f(x) has cancave upward  if second derivative…

Q: The function f (x) is defined below. What is the end behavior of f (x): f (x) = 5x° + 180x + 160 +…

A: given  f(x)=5x3+180x+160+60x2we have to find the end behaviour of f(x).

Q: For the function g(x) = x² the value of g(2 + h) is: 04+h? 04+4h + h² O2+h?

A: Given Data: Function: g(x)=x2 ......(1) The value g(2+h) can be obtained by substituting the…

Q: What value of x makes the discontinuity of the function x² – 4 f(x) = removable? x2 — х-6

A:

Q: ch that the function X-4 x 5. f (x) =

A:

Q: 17. Find the difference quotient for the function f(x)%=(x²+1) °, then simplify.

A: Given function is:

Q: In the given question , use the functions f (x) = x + 4 and g(x)= 2x - 5 to find the given function?…

A: Consider the function, fx=x+4,         gx=2x-5To  calculate   the   inverse   of   function…

Q: Find the difference quotient for the function f(x) = - 2x+ 9, and simplify it. %3D The difference…

A:

Q: Use the functions f(x) = x + 4 and g(x) = 2x − 5 to find the function. (g ∘ f)−1

A: Given functions are: fx=x+4 and, gx=2x-5 We have to find the function g∘f-1. First of all we need to…

Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

A:

Q: 2 For the function f(x) = 2x² – 4x, evaluate and simplify. - f(x + h) – f(x) h. II

A:

Q: What is the end behavior for this function? F(x)=x^5-3x^3+2x-4

A:

Q: find the value of the constant (a, b, or c) that makes the function continuous. (x2 - c 4x + 2c for…

A: For limits to be continuous left hand limit must be equal to right hand limit and equal to limit at…

Q: Find f(-x) - f(x) for the given function f(x) = x2 - 3x + 7 .Then simplify the expression.

A:

Q: Consider the function f (x) = 3x – 6|. -

A: Given problem:- f(x) =|3x-6|  To find:- How is differentiability related to limits Rewrite f (x) as…

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

A:

Q: Find the value of f(-142) for the function below. f(x) = -0.2(x + 223)

A: To find the value of f(-142)

Q: The value of the function f(x) = 3x - 7 at 5 is .

A: To find the value of the function

Q: Find the domain of f. f(x) = x2 – 13

A:

Q: Use the functions f(x)=4x+1, g(x)=2x2−6x, h(x)=−x2+3x−19.  Find (f - h) (x)

A:

Q: Find the domain of the function.

A: Given: fx=13x-6 To Find: Domain of the given function

Q: 2. f(x) = 14x – 10x² + 2x – 5

A: Let's find.

Q: Evaluate the difference quotient for the given function. f(x) = 4 + 2x − x2,    f(5+h)-f(5)/h

A: Given data:     The given function is: f(x)=4+2x-x2.     Substitute 5+h for x in the given function.…

Q: Find the domain of the function. 5 f(x) = x² - 19x The domain is

A: We have to find the domain of given function.

Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: Find the range of values x for which the function f(x) = 4x³ – 12x2 + 15 is decreasing. a)

A: To find the range of values of x for which f(x) is decreasing

Q: Find the domain of the function f(x)= 1/4x+7 what is the only value of x not in the domain?  only…

A: Since the given function is a rational function and in rational function the denominator cannot be…

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (f ∘ g)(0) without finding an…

A:

Q: What is the end behavior of the function f(x)=2e^x? Select the two correct answers.

A:

Q: Use the functions f(x)=x+5 and g(x)= 3x-7 to find the function (gof-1(x).

A:

Q: Consider the function below. x2 x² - 4 f(x)

A:

Q: 2 For the function f(x) = 5x² – 5x, evaluate and simplify. f(x + h) – f(x) h II

A:

Q: Express the function in the form  f ° g    F(x) = (2x + x2) 4

A: Given, F(x) = (2x + x2)

Q: At what value of x does the function f(x) = x³ + 3x2 -9x change from decreasing to increasing? %3D

A: At the local minimum f(x) will go from decreasing to increasing

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: Next, use the vertex and the other point provided to find the value of the leading coefficient a in…

A: Given that vertex is at -3,5, thus, h,k=-3,5.

Q: Evaluate the function at the given expression g(x)=−x−20 at 2x+5 g(2x+5)=

A:

Q: For Exercise, evaluate the function for the given value. h(x) = x2 + 3x; h(3)

A: Let the given function is:

Q: Where is the function concave upward and concave downward? f(x)=5x^7-28x^5

A: The given function is,

Q: Use the functions f(x) =x - 3 and g(x) = x to find the value or function. (g-1 of-1)(-3) (g-1…

A: The given functions are: f(x)=x8-3     and    g(x)=x3

Q: Given the function f(x) = -x2 5, express the value of e+h) f(x) in simplest form.

A: