Given that f(x) = x² 5x and g(x) = x – 4, calculate %3D - (a) fo g(- 4)= (b) g o f( – 4)= > Next Question

Q: (1 point) Let f(x) = x² – 6x and g(x) = x – 6. Evaluate the following - %3D 1. (fo g)(x)= 2. (go…

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Q: 1. Simplify the following. a. f(x) =2x - 3 -2(5x-4) b. f(x) = (4x 2 - 5) +(-2x²+3x-5) c. A(r) -…

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Q: the functionf and g are given by f(x)= x – 1 and g(x) = x², then D, =

A: Answer and explanation is given below....

Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

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Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g…

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)…

Q: If f(x) = x² – 3 and g (x) = -x + 3, determine where g(x) > f(x). %3D %3D

A: To determine: Where the gx≥fx. Given: The functions are fx=x2-3 and gx=-x+3. Calculation: Substitute…

Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: 23. For f(x) = 9x and g(x) = x + 4, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f…

A: Solution(d) :

Q: 1 and g(x) x – 7 Let f(x) +7. Find and simplify the following: (a) (ƒ o g)(x) (b) the domain of (ƒ o…

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining question…

Q: fx) 1 A. f(x) = 2x2 + 8x + 1 B. f(x) =-2x²-7x + 1 .4 %3D -3 -5 C.f(x) = 3x² + 9x-11 D. f(x) =-6x² +…

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Q: If f (x) = x? +1 and g (x) = vx + 2, find f o g. %3D

A: topic - functions

Q: Given the function f(x) = 6x² – 4æ + 1. Calculate the following values: f( – 2) = f( – 1) = %3D f(0)…

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Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: ALL WORK MUST BE SHOWN Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. a.…

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Q: Find grad f.

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Q: 7. Given f (x) = 4 +3|2x + 4|, find f (-3). %3D

A: Given that f(x) = 4 + 3 |2x + 4| We need to find value of f(-3). Now, Put the value x = -3 in given…

Q: What happens to the value g(x) if x is tripled

A: The value of the function when the x value is changed, totally depends upon the type of function.

Q: c) Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D

A: Newton's forward difference interpolation formula is, y(x)=y0+pΔy0+ p(p-1)2!    ⋅Δ2y0+  p(p-1)p-33!…

Q: Show that f(x) = (x16)2 has no inverse on the interval

A: Solution of the problem as follows

Q: Write a formula for ( ogoh) where r-2 f(x) = 3x - 4, g(x) h(x) = Vx - 2 x+1

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Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: xe 47. h(x) Rule %3D x + 1

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Q: 10 g(x) C. 1+2e-3x

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.