Is f(x)=x2 - 11 is an example of a non-linear one to one function? Find its Domain and Range if it non-linear one to one function.

Q: If I have f^-1=2x-4 how can I find f(x)?

A:

Q: For what value of x does the function f(x) =x³ – - 4x attain the absolute maximum in the interval…

A: Second derivative test: If the function f is twice-differentiable at a critical point x (i.e. a…

Q: For f(x) = 1- x²

A:

Q: Consider the function:  f(x)=5x+2   and   g(x)=3x-4  Solve for - (f°g) (x)

A: Given:

Q: Suppose that f is a linear function with slope -3.4 and that f (3) = 4. What value of x gives f(x) =…

A:

Q: Determine the end (long run) behavior for the function below:   f(x)=x^4−3x^3+x−1

A: Solution ) f(x) = x4 - 3x3 + x - 1  We only see Degree of polynomial = 4 ( even )  Leading…

Q: Find the domain of the function.

A: Given: fx=3x-2x+1 To Find: Domain of the given function

Q: Find the points of inflection of the function f(x)=xe−2x.

A: Inflection point is the point where concavity of f(x) changes. At this point double derivative of…

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

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: Find the domain of the function.

A: First simplify the function using LCD

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx…

A:

Q: How does the function ƒ(x) = x2 - 1/x - 1 behave near x = 1?

A: The given function is f(x)=x2-1x-1 we have to check the behave near x = 1

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

A:

Q: Does the function f(x)=2^x approach a certain real number as the value of x increasing positively?…

A: f(x) = 2x clearly, 2x+1 = 27.2 > 2x  f(x+1) > f(x) or if a E R (i.e. a>0) then f(x+a) = 2x.…

Q: f(x) = 1– 2x +xs

A: Given, function f(x)=1-2x+1/3x^5 By using the formula of differentiation d/dx(x^n)=nx^(n-1)

Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: Find (f-g)(x) for f(x) = 4x- 9 and g(x) = 3?

A: Given, fx = 4x-9   gx = 3x2   We have to find f-gx

Q: Find x- and y-intercepts for f(x)=(x+2)2(x-1)

A: Topic- function

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

A:

Q: Find the points of inflection of the function f(x)=x2 / 1+x2.

A:

Q: Q1: Find inflection point of the function F(x)=X³- 2X+1

A: Our Aim is to find the inflection point of F(X)=X3-2X+1 -(i)

Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

A:

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: for the function f(x) to be continuous, the f(x) must be continuous at x=3Then,2x+9x-1 =-4x+c2x+9x…

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

A:

Q: The sum of two positive numbers is 210, then the function that models the product of the numbers is…

A: Let x be a positive number Given that: Sum of two positive numbers = 210

Q: Find the interval in which the function f(x) =xex is decreasing.

A:

Q: What is the domain of the function f(x) = Vx + 4

A: The given function is fx=x-1x+4. It is known that square root function is defined only for non…

Q: Find the domain of the function.

A: Domain is set of all the input values which can take value in function such that it gives some…

Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: Find the value of the constant k that makes the function continuous. 2x - 2x - 12 if x 3 g(x) = X- 3…

A: For function to be continuous

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x#3 g(x) = x- 3 kx…

A:

Q: What value of b completes the function f(x) = −x2 + bx + 1?

A: We have to find the value of b that completes the function f(x)=-x2+bx+1.

Q: Consider the function f(x) = х — 2 х — 4 -

A:

Q: Differentiate the functions. a) f(x) = 1– 2x +*

A: Given problem is  :

Q: f(x)=x3 - 2 is an example of a non-linear one to one function? Find its Domain and Range if it…

A:

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Find the value of the constant ( a, b, or c) that makes the function continuous.

A: Given, f(x)=2x+9x-1x≤3-4x+cx>3

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: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function (g ∘ f)(0) without…

A: Consider the function: fx=2x-5,  gx=4x-1,  hx=x2+x+2

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.

A: Topic = Functions

Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

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: Differentiate the function with respect to the independent variable. f(x) = - 3x° + 4x$ – 7

A:

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

A: Linear function

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

A:

Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75