Given the function f(x) = 5x+3/2x-1 a. Determine f-1(x). b. Hence solve the equation 5x+3/2x-1 = 8

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: For f(x)=x^3-ax^2-×+8, find the x-intercepts

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: 16) For the function: f(x) = 4x² +6x+1 A) Find the intercepts.

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Q: If f (x) = (e²)² , what is f'(x) ?

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Q: Use the models f(x) = 0.074x + 2.294 and g(x) = 2.577(1.017)x to solve. a. World population in 1970…

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Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: Given the functions f(x) = g(x) = 2 x – 2' x - 2 determine (f • g)(x). Show your solutions in the…

A: The functions arefx=xx-2, gx=1x-2

Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

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Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: Solve : f(x) = 3√(x - 1)

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Q: If f(x) =x^2 + 3 and g(x)= 3 -x then what is the the answer to the eqaution in the picture?

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Q: Solve f(x) > 0, where f(x) = (x – 1) (x + 3).

A: Function, f(x)&gt;0, implies the value of the function lies to the right of the origin in cartesian…

Q: Given f(x)= -5x+1, solve for x when f(x)= -4

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Q: The point of the given function at (2, -7) is found to be y = x3 – 2x2 – 4x + 1

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Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4

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Q: 8. For f(x) = -4x + 5, find the solution to f(x) = 41.

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Q: Enter the solution to the equation f(x)-g (x) = 0

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Q: Given f(x) = 5x – 3, solve for x when f(x) = 7. | %3D

A: We have to find

Q: At what point will f(x) = 2x+1 andf¯1 intersect each other?

A: Topic - functions and inverse function

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: Is (f o g)(x) equals (g o f)(x)? Show your solutions why or why not

A: We define two functions  f:ℝ→ℝ byf(x)=x-1g:ℝ→ℝ byg(x)=x2-2 To check: (fog)(x) equals (gof)(x) or not…

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Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: 1. Find the intercepts of the function. f(x)=x*+2x–15 а. X+10 b. y-- х-5

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Q: Plot f (x) = x e - x and use the zoom feature to find two solutions of f (x) = 0.3.

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Q: For the function z = x3 - 2x2y2 - 2y2 Please solve Zx and Zy

A: To find: The value of zx and zy. Given: The function is z=x3-2x2y2-2y2. Formula used: Power rule of…

Q: What is the value of f(1)-16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A: Please follow the next step.

Q: (B) Solve f(x) = x³ – 2x – 5 using Secant Method, correct up to 3 decimal places. Where xo=2 and x1=…

A: Given that fx=x3-2x-5  also x0=2 and x1=3 solve it using secant method

Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

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Q: Solve the DE f'(x) = 5x given that f(0) = 3. A x² + 15 B y=x²- 15 5 y=x²- 3 5 D y=}x²+3

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Q: Given f(x) = 2 +7, solve f(x) = 9 I =

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Q: Solve f"(x) for a)x^4-3 b)x^3-2x c)(1/2)x^4-3x^2+4x d)x^2-(1/2)x-2

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Q: Find f by solving the initial-value problem. f '(x) =8/(x1/2), f(9) = 51

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Q: Solve the DE f'(x) = 5x given that f(0) = 3.

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Q: Q2: Find f-(x) 2x - 3 f(x): I +2

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Q: 2. If f(x) = |x|- 2 is translated -5 units horizontally and +3 units vertically, what would be the…

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Q: Given f(x)=2x @ g(x)=3x+4,solve for (g o f)(x)

A: Given- fx = 2x, gx = 3x + 4 To find- Solve for g∘fx

Q: Differentiate the equation below by using First Principle Method. (a) f(x) = 3x² + 7x (b) f(x) = -x²…

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Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: Given f(x) = -x – 1, solve for x when f(x) = 6. %3D

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Q: Solve for f(g(x)) and g(f(x))

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Q: Which of the following functions is NOT a solution of x" - 4x + 4x = e¹?

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.