7. Find and simplify the difference quotient f(x+h)-f(x) for the function f(x) = x² -

Q: Sketch the domain of the f(x, y) = ln((x² + x² – 4)(16 – x² – y²)) |

A: Recall:  Domain of the function:           The domain of the function is the set of all values for…

Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: What is f(x) – g(x), if f(x) = x2 - 2x + 3 and g (x) = - (2x + 3)?

A: Given: f(x)=x2-2x+3 and g(x)=-2x+3

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: Determine the values of x for which f (x) = 1x − 4 is increasingand for which decreasing

A: fx=1x-4 Differentiating with respect to x, we get f'x=-1x-42    ∵ddx1x=-1x2

Q: Зах + 3 for x -2

A:

Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

A:

Q: A company has determined that its price-demand function for its sale of its product is given by…

A:

Q: 3. Find and simplify the difference quotient for the function f(x) = v3x – 2

A:

Q: Compute the difference quotient  f(x+h)-f(x) / h  for f(x)= 4x2-9x

A:

Q: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

A:

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

A: Given function is:

Q: For what value of x is the function f(x) = 4/2x2-6x not continuous?

A:

Q: In the function:  f(x)= (5x)/((x^2)-25  How do you find the x-values of the inflection points?…

A: Given function is,

Q: 2 If f'(x) = 3x2 - and X f(1) = 0, find f (x)

A:

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

A:

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x² + 3x – 3x x? - 2x + 6 -x? + 2x + 4 x² - 2x –…

A:

Q: 1 Find the domain of the function f(x) V4 - 2x – x²

A: fx=14-2x-x2

Q: 1. How will the function f (x) = (x – 6)° + 5 be transformed from its parent function? -

A: Given function, f(x)= (x-6)6+5 The parent function is g(x)= x3

Q: snip

A: Concept - If there is function f(x), then for f(x) to be defined the numerator should never be…

Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = (÷r – 1)² + + 1?

A:

Q: how can I Write the function in the form  f(x) = (x − k)q(x) + r  for the given value of k. f(x) =…

A:

Q: mathematically

A: We will solve the problem

Q: Calculate R3 and L3

A:

Q: Find the difference quotient of f(x) = x² at x = a and simplify. (The difference quotient at x = a…

A:

Q: 1 Compute and simplify the difference quotient for f(x) = V1- x

A: The given function is fx=11-x. Replace x by x+h and obtain that, fx+h=11-x+h. Obtain the difference…

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

A:

Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

A:

Q: Discuss the continuity of the function.

A: Function is not continuous at the vertical asymptotes. And to find the vertical asymptote, one need…

Q: Calculate R_5 for f(x)=2x^2+8x over [-1,1].

A: Given: fx=2x2+8x The interval is -1, 1

Q: 1 For the function f (x) = 2 (x + 4) – 6, find f(x).

A:

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

A:

Q: 1. If f(x) = 2x – x² and g(x) = |x – 3|, find the value of f(-2) + g(-2)

A:

Q: If (f°g)(x)=2x-1,how might f(x) and g(x) be defined?

A: (f°g)(x)=2x-1 can be written as f(g(x)) So g(x) is the inner or the first function  And f(x) is…

Q: For what value of x is the function f(x)= 4/2x2 - 6x not continuous?

A:

Q: Find a simplified formula for the difference quotient (f(x+h)-f(x))/h. f(x)=x^2+8x…

A: Plug x+h in place of x. Find f(x+h)

Q: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

Q: 7.If f(x)= 2x – 1 and g(x)= x² – 2x, find f(3)/g(2). -

A: Given fx=2x-1 and gx=x2-2x. To find: f3g2 Solution: Finding f3.  f3=2·3-1=6-1=5 Now, finding g2.…

Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

A:

Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

Q: Determine where f(x) = x² – 2 is increasing and where it is decreasing.

A: Given: fx=x2-2 The graph of the given equation is,

Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: How would I slove this:   For the functions  f(x) = 2x + 3, g(x) = 3x2,  find  (f ∘ g ∘ g)(x)

A:

Q: What is the linear function of f(x)= -1/2x

A: Linear function

Q: Evauluate the piecewise functiona at the given values  f(x)={8x+9     X0

A:

Q: What is the truncation error in calculating f'(3) for f(x) = x2 by f'(x)- (f(x+h) - f(x))/h with h =…

A: