The function f(x) = (x + 3)° is one-to-one. a. Find an equation for f1 (x), the inverse function. b. Verify that your equation is correct by showing that f(f1(x)) = x and f- (f(x)) =x. ..... a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) O A. f (x) =D. for all x O B. f (x)= for x2 OC. f'(x)=| for xs O D. f'(x)= for x# b. Verify that the equation is correct. and Substitute. Simplify. %3D %3D The equation is

Q: 3a.

A:

Q: The equation y = cos x does not have an inverse function on the interval 글 < x < 를 2 O True False

A:

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: We graph the functions using a graphing calculator.

Q: How do you determine if a function f (x) has an inverse on an interval (a, b)?

A:

Q: I need help on question B) : Suppose i have  f(x) = -1/2x^2+9   How would I find the inverse…

A: fx=-12x2+9 Put y=fx Then y=-12x2+9

Q: What is the inverse function of f(x) = 2 + Vx-1? O (x+2) - 1 O (x-2) +1 O (x- 1)2 +2 O (x+ 1)? - 2

A: f(x) = 2+x-1let y = f(x)so , x= f-1(y)Now, y=2+x-1y-2=x-1squaring  O.B.S(y-2)2=(x-1)2 (y-2)2 =x-1

Q: if f(X)= SINX+2X+1 and g is the inverse function of f, what is the value of g'(1) ?

A:

Q: What is the inverse of the function f(x) = e\? %3D

A:

Q: Differentiate the given function: g(x) = sec¯ ec- (x²) ...

A:

Q: (b) Find a formula for the inverse of the functiony= e2x-1,

A:

Q: Find the inverse function of the function f(x) 5æ? if x < 0. f-(x) : where (give the domain of = the…

A:

Q: Suppose that x and y vary inversely, and x = 20 when y = 8. What is y when x = 16? What function…

A:

Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: find out the first and second derivative.

Q: 4 The function f(x) =+5, x# 0, is one-to-one. %3D Find an equation for f '(x), the inverse function.…

A: The given function is: f(x)=4x+5,     x≠0

Q: calculate the value of k, when the inverse function of y = 3 ^ x is y = k × ln (x).

A: To finding the inverse we use the logarithmic properties

Q: What is the inverse of the function f(x) = e* – 2 ?

A:

Q: 7. Given f(x) x + 1 write an equation for the inverse 3' function.

A: The steps to calculate the inverse is given below: Replace f(x) by y. Now replace x with y and…

Q: When it comes to finding the inverse of a function, does step 3, solving for y, always involve the…

A: i.e. Step 1 To find the inverse of f(x)=-13x+1 Place y in for the f(x) ⇒y=-13x+1 Step 2 Interchange…

Q: In the given equation , determine whether the function is one-to-one. If it is, find its inverse…

A: Given function is fx=-ax+b, a≠0. To determine whether function is one-to-one and its inverse…

Q: Find a formula for the inverse function of h(x)=2e3x . Verify that h-1(h(0))=0

A:

Q: 2. Find a function equation for the inverse function, z-1.

A: The solution are next step

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation…

A: The given equation is yz=e3x+z.

Q: Find the inverse function of e-x+3-2=f(x) and check your solution by finding f(f-1(x))

A:

Q: 1 What is the inverse of the function y ? 2х + 3

A:

Q: Find a formula for the inverse of the function. y = e6 - x

A:

Q: In the given question as follows, Decide whether the function has an inverse function. If so,…

A: Given C(t) is the cost of a long-distance phone call lasting t min

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: y=ln(2-e5x)

Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: Find a formula for the inverse of the function. y = e2 - x %3D

A: Given: y = e2-x

Q: Find the inverse function of the function f(x) = – 4x² if x <0. f(z) = where (give the domain of the…

A: Interchange the variables x and y in y=-4x2 and solve for y. x=-4y2y2=-x4y=-x4Thus, f-1(x)=-x4,

Q: 4. Find a formula for the inverse of the function. 1-Vx y = 7+Vx

A: Consider the function y=1-x7+x. Interchange x and y and obtain the new equation as x=1-y7+y. Rewrite…

Q: a. Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At…

A: PART a.The given function is y = ƒ(x) = -x+1To find the inverse of this function we interchange x…

Q: to convert from x degrees Celsius to y degrees Fahrenheit, we use the formula f(x)=9/5x+32. Find the…

A: To find the f-1(x).

Q: 4. State the domain and range of the inverse of the following function y=2√x+1,

A:

Q: Given x and y vary inversely and that y is 24 when x is 8, sketch a graph of this inverse variation…

A: Given x and y vary inversely and that y is 24 when x is 8, sketch a graph of this inverse variation…

Q: Find a formula for the inverse of the function.  f(x) = e x  /  (1 + 2 e x  )

A: Given function (x) -f(x) = ex1+2exFor finding the inverse, we solve for x then - 1+2exf(x) =…

Q: Find a formula for the inverse of the function. y =. 1+ 6e* f-1(x)

A: Given: y=ex1+6ex For finding inverse of given function, first we find x in terms of y then replace x…

Q: It is known that the equation of the function y = f(x) is f(x) = 4x + 18. Algebraically determine…

A: Given;  f(x) =4x+18

Q: How do I solve this question? I don't know how to find the inverse function.

A: We use that combination of f and f inverse = x Then differentiate both sides with respect to x. And…

Q: Transform the given function f(x) as described and write the resulting function as an equation.

A: We need to transform the given function.

Q: For Exercise, a one-to-one function is given. Write an equation for the inverse function. c(x) = x +…

A: The given function is a One-to-One function and we have to write the inverse function of the given…

Q: 6) Does y = x have an inverse function?

A: Let, the function is

Q: The inverse function of y=(1/x) is

A: The given function is fx=1x. Let f(x)=y. Then y=1x. Interchange x and y as follows. x=1y

Q: bes f(x) = |x + 3[have an inverse function? Why or why no

A: It will have following conditions

Q: For the function y 8 f(æ) = 1+ x² ' a. Find the slope of the line tangent to its inverse function at…

A:

Q: The graph of a constant f(x)= c for any constant is c is a horizontal line through the point (0,C)…

A: The graph of a constant function  f(x)= c for any constant is c is a horizontal line through the…

Q: Q: If f(x) = 2x3 – 1 and g(x) = Vx+1 find the following: - a) Show that the functions are inverse…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In the theory of relativity, the mass of a particle with speed v is mo m = f(u) where mo is the rest…

A: Given the theory of relativity , the mass of a particle as a function of v . We need to find the…