2х + 14 if x < - 3 Let f(x) Vx + 67 if x > – 3 2 if x = - 3

Q: Consider the function f(x) where. 2x²-x +3. if x>2 jf x=2 if x<a f(x) = 4 4-X Is the function…

A: Solution:

Q: Let f(x) be a piecewise function defined by - 6x+ a if x - 3 What should be the values of a and b…

A: Continuity

Q: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: f(x) 2x²1 x>-1 -x³ x < -1 Is this function continuous at x= -1

A:

Q: After Julia has driven for a quarter of an hour, she was 170 miles east from Denver. After driving…

A:

Q: 62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2…

A:

Q: Find f-1(x) for the function. х f(x) %3D x + 1 f-1(x) =

A:

Q: Let f (x) = x / x - 1 and graph the function f (f (x)) in the window [ -15, 15] by [ -10, 10]. Trace…

A: Consider the provided function, fx=xx-1 Find the formula of ffx. We can write as, ffx=f∘fx. So,…

Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: f(x)= 23-4b            If x=3

A: Continuity: A real function f(x) is said to be continuous at a∈R (R− is the set of real numbers), if…

Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: For this function Y=x^3 + 15x^2 -225x prove that we have a point of inflection at x=-5

A:

Q: If f(x) =x^2 +x+1 and g(x)= x-5, find the following. g•f

A: The functions are given by f(x) = x2+x+1 and g(x) = x-5 To evaluate : The expression for g∘f

Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of…

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has…

Q: Suppose that f(x) is an odd function and that f(-2)=4 Find the value of f(2)

A: Given data:     The given value of the odd function is: f(-2)=4.     The standard expression for the…

Q: Suppose F(x)=g(2x2-3). Find F`(1) if g`(-1)=-4

A:

Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

A:

Q: Let f(x) = x^2/√x−10 + 1/2x−30. Find the domain of f

A:

Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.