a car travels at a constant speed of 50 miles per hour. the distance, d, the car travels in miles is a function of time,t,in hours given by d(t)=50t. find the inverse function by expressing the time of travel in terms of the distance traveled. call this function t(d).  t(d)= find t(160)

Q: (a) If f(x) = V3 – x, find the inverse function f. %3D

A: Topic = Functions

Q: Find the inverse function of f. f(x) = 2x + 7 f-"(x) =

A: Given: fx=2x+7 . f-1x can be calculated as follows, y=2x+7Interchange the variables x and…

Q: Find the inverse function for the function y = h(t) = 3t + 6.

A:

Q: How has the function g(), shown below, been transformed from the parent function, f(x) = x² ? g(x) =…

A: We can translate a graph of f(x) right c units by subtracting c inside the function argument f(x—c).…

Q: Find the inverse function of f. 4х + 3 f(x)= х — 2 f-1(x) =

A:

Q: The inverse of the function f(x)=3x−4 is f^−1(x)=

A:

Q: Find the inverse function of f.

A: We can find the inverse of a function f(x) algebraically by taking the function f(x) as a variable y…

Q: Find the inverse of the function f (x)= \x-2.

A: To find the inverse of the function,  Let y=f(x) Therefore, x=f-1(y) Substitute y in place of f(x)…

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: Find the inverse function of f. f(x) = x2 + 5x, r(x) = 25 4

A: A function g is the inverse of the function f if for y=f(x), x=g(y). First replace a with y and then…

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: b. What would be another acceptable way to restrict the domain of the inverse function?

A: We have, y = sinx  So, x = sin-1(y)

Q: A runner is jogging at a constant speed of 3.5 miles per hour. Find the distance (d) the the runner…

A:

Q: What is the inverse of the function h(x): x + 4? h-1(x) = |

A:

Q: Find the inverse function of the function f(x) = 2x5 on the domain x > 0.

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Q: The inverse function of f(x) = = -7x+3 12 is

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Q: f(x)- 2.3*- 3

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Q: Find the inverse function f-(x), if f(x) = 2 + 7

A:

Q: The population of wolves in a wildlife reserve can be modelled by the function f (x) = 1000+600x…

A: The given population of wolves is given as fx=1000+600x10+0.6x The domain of the function is defined…

Q: A rectangle has a length of 16 inches and a width of 9 inches. If the length is increased by x…

A:

Q: Find the inverse function of f.

A: Given : fx = xx+4

Q: is given the function f (x) = 6x-3, its inverse function at the point x = -3, so f-¹ (-3) is: a) -6…

A:

Q: The function f(x) = x + 3 is one-to-one. Find an equation forf1x), the inverse function.

A: Let  y=x3+3 Change the subject of the equation to x x3=y-3x=y-33

Q: find the inverse function of : f(x)=( 2x-4)/3

A:

Q: Find the inverse function of f.

A: We can find the inverse of a function fx algebraically by interchanging the variable x and y  by…

Q: Find the inverse function of f. f(x) = 3x + 5

A: The given function is fx=3x+5

Q: The function f(x) = 3x + 1 is one-to-one. Find an equation for f'(x), the inverse function.

A: Given, f(x)=3x+1

Q: Find the inverse function of f(x) = V5x + 6. f- (x) =

A:

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: The population of a town in Texas is modeled by the function f(x)=16,869(1.037)x. If the initial…

A: We have given population modeled by the function  f(x)=16869(1.037)^x For initial population put x=0…

Q: Find the inverse function of f. f(x) = 22x

A: An inverse of a function exists if and only if the function is one-to-one. A one-to-one function is…

Q: Find the inverse function of f. f(x) = 5 + 7x

A:

Q: Consider the function f(x)= 2/3(x-1)+ +5. a. What is the equation for the inverse of f(x)? b. Sketch…

A: To find the inverse  swap the variables x and y and then solve for y.

Q: At a local pizza parlor the daily special is $12 for a plain cheese pizza plus $2 for each…

A: Price of pizza=$12 for a plain cheese pizza plus $2 for each additional toppings.

Q: Find the inverse function of f(x) = 3 + . f(z) =

A:

Q: Consider the function f (x) = /2x – 8. If ƒ -'(x) is the inverse function of f (x), find f -'(2).

A: let y=f(x)y=2x-8for inverse function, replace all x with y and y with xx=2y-8⇒2y=x+8squaring both…

Q: Find the inverse function of f(r) = 4 + Vr. f-(x) = %D

A: The function is given as :- fx=4+x3 find inverse of function.

Q: Does the function f (x) = x2 - 3x have an inverse?

A: fx=x2-3x

Q: Find out if the function has an inverse. If so, find (f^-1)'(1):

A: (a) fx=lnx (b) fx=ex+x3+5x To Find: If the function has an inverse. If so we have to find f-1'1.

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: fn(x) = T x2 = 1+x + 2 + 6 k=0 n! + +

A: Let us prove the equation by induction. Then, will determine whether inverse for the function exists…

Q: Find the inverse function of f. f(x) = 5 − 3x f −1(x) =

A:

Q: Find the inverse of the function on the given domain. f-1 (x) = f(x) = (x - 18)2, [18, ∞)

A: Inverse of function f(x)=(x-18)2 . In the interval [18, infinity) is  f-1(x)= 18+sqrt(x)

Q: Find the inverse function of f. f(x) 3x7

A: Given,

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

A: Given: y=kx=x+83 for finding inverse of given function we first find x in terms of y, for that we…

Q: Consider the function:  f(x) = 4x  and find its inverse.

A: Given function:

Q: Find the inverse function of f. 6 - 4x f(x) 12x - 1 r(x) =

A: Given function is To find inverse function of , we set f(x)=y and solve for y. Therefore,