The function f(x) = 2x +8 ,x# 3, is one-to-one. X-3 Find an equation for fx), the inverse function. rx) =,x#2 (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Q: What is the inverse of the function f(x) -In(5x + 1) – 7? ex – 6 elx + 7). 5 O fx)= elx+7] -4

A: Topic = Functions

Q: If f(x) = +x³, what is f'(x)?

A: Given,         fx=1x+x3

Q: Let f(x)=4(1/3)^2x. Which is equal to f(1)?

A:

Q: If f( x) = x² , what is f'(x)?

A:

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

A: Given:

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: Given the function f(x)=x*2+x-1, what is the value of f(2)?

A:

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: At what value of x does the function f(x) = x^3 - 3x^2 - 9x change from increasing to decreasing

A: Increasing decreasing function problem

Q: The inverse, f-1 (x), of f (x) = 3x is represented by which of the following?

A: Use simple steps of inverse

Q: Find an equation for f', the inverse fur 6. f(x) = (x- 1)3

A:

Q: What is the inverse of the function f(x) = In (5x + 1) - 7?

A: Given query is to find the inverse of the function f(x).

Q: Can you calculate f(0) for the function f(x) = 2π2?

A: Answer is  f(0)=2π^2. Explanation is given below

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

A:

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

A: f(x) = 2x - 5 g(x) = 4x - 1 h(x) = x2 + x + 2   g(0)= 4*0 - 1        = 0 - 1        = - 1 g(0)= - 1

Q: of the function f(x) = 3x from x, =0 to x, =7. (Simplify your answer.)

A: We have to find

Q: How would you, in your own words, define an inverse function. If I gave you the equation  f ( x ) =…

A: Given,

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: If f(x)=x^2+3, find f(x+h)-f(x) and simplify.f(x+h)-f(x)= ?

A: We havef(x) = x2 + 3             ...(1)

Q: For which interval does the function f(x)=x^3−x^2+1 have an inverse?

A:

Q: 1. If f(x) = x + 3, what is f(4)?

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

Q: Given the function f(x)=5x-x^2, express the value of f(x+h)-f(x) / h in simplest form

A:

Q: If f(x) = x2 + 3x + 2, find  f(x + h) - f(x)/h, h ≠ 0, and simplify.

A: Consider the given function fx=x2+3x+2

Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

Q: Find f'(a) for the function f(x) = -4x^-2. Thanks!

A:

Q: For what value of x does the function g(x) = -x – 2x? attain the point of inflexion?

A: i have used the necessary and sufficient condition for point of inflection and obtained x=2 is…

Q: determine the simplified equation of the new function h(x) = f(x) + g(x), where f(x) = 2x - 3 and…

A: From the given problem: fx=2x-3 &  gx=x+1 And hx=fx+gx So, we can write as: hx=2x-3+x+1

Q: What is the inverse of the function f(x) = 8x + 1? f (2) =

A: Consider the handwritten solution.

Q: find the equation of the inverse of one-to-one function  n(y) - y^2+9, y≥ 0

A: We know that x = y2 + 9 is a parabola with the vertex at (9, 0). The graph that is shown below…

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: what is the domain and range of the inverse function f-1(x)=-x/(3-7x)?

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: 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: For the function f(x) = x^2/2-x, what is f(a+h)?

A:

Q: Find the inverse of f(x) = x2 - 1 if x ≥ 0. Graph f and f -1 in the same rectangular coordinate…

A: Given: fx=y=x2-1 for finding inverse of given function, first we find x in terms of y then replace x…

Q: If f(x) = x2 + 3x + 2, find [f(x + h) - f(x)]/h, h ≠ 0, and simplify.

A: Consider the given function as fx=x2+3x+2

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: The population of a city in the year 2000 is 250,000 people, and is modeled by the function, f (x) =…

A:

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: The functions f and g are defined by f(x)=x^2 and g(x)=2x, respectively. Which equation is…

A:

Q: If f(x)=1+x /x, for which value of x does f(x)=5?

A: Given function f(x)=x+1x

Q: If f (x) = xe¯¤ , what is f(1000) (0)?

A:

Q: What is the inverse of the function f(x) = 4x* – 1? %3D -

A:

Q: Let f(x)=(5)x+1. Which is equal to f(−3)?

A:

Q: Differentiate the function with respect to the independent variable. f(x) = 6 – 5x - 8x? f'(x) =O

A:

Q: The function f(x) =5² never yields negative values. O True O False

A:

Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23…

A: Given:   Function equation is given

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: