Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6 f(x) = х — 6 4, - x = 6

Q: f(x) = 2ax - bx² + 2ax – b %3D

A: fx=2ax3-bx2+2ax-b Now, simplify the above function, fx=x22ax-b+2ax-b=2ax-bx2+1

Q: A function is defined by z = x2y - xy2. Identify the independent and dependent variables.

A: Given function is

Q: x+5 4. f(x) = %3D x2-5x+4

A:

Q: Let f(x)=4+3x and g(x)=x²-3. Find each function value: g(f(-2))

A: Topic : function

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

A:

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: Determine the values of x for which f(x) is discontinuous.

A: For x<=3, f(x)=3x-12 is continuous

Q: X-2 f(x)3D x2+x-30

A: In the given question a function is given and we have to find point of discontinuity of the…

Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

A:

Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

A:

Q: Draw the function of y = x 2 / 3 + x2

A:

Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Use the formula to express h as a function of x if h = 3y-2/4y and y= x-4

A:

Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4