Which values of C makes r(x) (a) left-continuous, (b) right-continuous (c) continuous x2 +3 for x < -1 r(x) = Cx for –1 2

Q: If f and g are differentiable at a , then f (x) + 4g (x) = I (x) + g (x)]. True False

A: Here, the given statement is  If f and g are differentiable at a, then ddxf(x)+ddxg(x)=ddxf(x)+g(x)

Q: Determine the value of A such that the domain of f(x) = +14 is (-∞0,8) U (8,00) - A

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: Suppose that f(x) = 4x³ + 5x² + 4. Using the Intermediate Value Theorem, for what values of N is…

A:

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

A:

Q: Let f(x) = (x-9)7 – 8, determine f¯¹(x). - ƒ¯¹(x) =

A: To find the inverse of the function f(x) = (x - 9)7 - 8, we need to express x in terms of y, where y…

Q: Can you please find (f o g o h)(x) where f, g and h are defined, and it's in the attached picture.…

A:

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Does f=g?

A:

Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…

A:

Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: (4ах + 2b , X<1 2х — 3Ь,1 <х < 3 (2ах + 4b g(x) ,3 <x Find the values of "a" & “b" if gm is…

A: We will find the value of a and b as following-

Q: x + Vx? -1 f (x) = X

A: Consider the given function, fx=x+x2-1x the domain of the function is the set of all possible real…

Q: Determine F(x) if, for all real x and y, F(x)F(y) – F(xy) = x + y.   Hint:  What could F(1) be?

A: Consider the provided question, We have to find F(x).

Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: Let f (x) = 2x3 - 3x2 - 36x + 14. Also, let a = 0 and b = 1. (a) Show that the function f is…

A:

Q: Let f(x)=x2, g(x)=2x+5, and h(x)=x2-1 a. h[f(-2)] b. f[g(x-1)]

A: Given that , fx=x2 gx=2x+5 hx=x2-1

Q: Let f ( x ) = x^ 2 − 1 and g ( x ) = 3 x. Find ( f ∘ g ) ( x ). group of answers 3x^3 − 3x 3 x^2…

A: Given functions, f(x)=x2-1 and  g(x)=3x

Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: determine the horizontal asymtope of f(x) = 2X divided X -3

A: The given function is .To find the horizontal asymptote of the function.