Find (fog)(x), and write the domain of (fog)(x) in interval notation. a) f(x) = 3 8(x) = /2- x. x2 – 16' 9. b) f(x) = x -1' (x)8 . x2 – 16 c) f(x) = 8(x) = Vx- 3. %3D 2x2 - x'

Q: is Y=2/X +1 a function?

A: We have given equation  Y = 2/X +1  An equation is a function if for every value of x there is a…

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: Find the domain and range of f(x) =V9 -x.

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Q: Enter an eqvation_for the line of symmetry for the function flx)=4x²+[6X-9 %3D

A: The function is given by f(x) = 4x2+16x-9 To evaluate : Equation of the line of symmetry

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

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Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

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Q: \text { 20. } f(x)=|x-3|

A: To graphf(x)=|x-3|

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Given the following function notations, find h(x) = f(x) + 2g(x). * f(x) = 7x – 5x + 2 and g(x) =…

A: Given the following functions                                      f(x)=7x3-5x+2  and  g(x)=3x2-1…

Q: By carefully showing all your steps, differentiate the function f(x) = (tan−¹(x + √√x)) 4

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Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: Find the domain of the function : h(x) =4/[(3/x) - 1]

A: Find the domain of the function : h(x) =4/[(3/x) - 1]

Q: 01. Plot the function (x) = x" -3x° +10x" – x - 2 for -65x56 , Draw the function as a solid blue…

A: x=-6:0.01:6;f=@(x)(x^4-3*x^3+10*x^2-x-2);for i=1:length(x)…

Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: What is f(x)=3ex-2x ?  x=0 and x=1

A: Given query is to find the value of the function at indicated points.

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

A: Solution of the problem as follows

Q: nd the slope of the graph of the function f(x) - X X- 2 at x = 0.

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Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…