The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table x f(x) f'(x) g(x) g'(x) 1 -3 8 3 2 2 3 -5 20 4 3 1 9 -3 -1 st 4 20 -1 1 3 Find each value. d (a) [√x. f(x)] a (b) at x = 4 dx at x = 2

Q: Define f(x) = 2 – 3x? What is the domain of this function? (-00, 2) (-00, 2] [-3, 0) (-x0, 0) [0, 0)

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Q: a. The function f(x) is represented by f(x) = 2x. The linear function g(x) passes through the points…

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Q: determine the value of the parameter a that will make the function f(x) = [ax+1, x- -1

A: The given function is fx=ax+1,    x<-1x2-3,     x>-1 To find: Value of parameter a

Q: The functions f, g and h are defined for xeR by f(x) = x², g(x) = 2x and h(x) =x+ 2. Find each of…

A: The terms are:-

Q: If f (x) = , then f-1 (x) 3-2r 3-2г 4.-3 O 21-3 3-4 If f = {(1,2),(-2, 3) , (3,0) , (0, 1)}, then…

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Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: O 4. For the function f(x) = x² – 3, Find f - 1/3-x² Ox-3 x² X 012-3 O 1-3 X (1)

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Q: 3) Find domain of the following functions х+4 a) f (x) = х2+2х-8

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Q: A function f is defined by f(x) = 3x + 1. Find the following. (a) f(0) (b) f(4) f(-2)

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Q: B6. Express + ar

A: Given

Q: f(x1, x2) = xỉ + 2.x1.x2 – 10x1 + 5x2

A: According to our company policy,  I am supposed to answer only one question at a time. For the rest…

Q: Determine F(x) if, for all real x and y, F(x)F(y) – F(xy) = x + y.   Hint:  What could F(1) be?

A: Consider the provided question, We have to find F(x).

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1,…

A: A composite function is generally a function that is written inside another function. Composition…

Q: Find f+g and fg for the functions f and g given as; f (x) =x² + 1 and g(x) =x + 2, are functions…

A: From the given problem:   fx=x2+1 ; gx=x+2   So,   f+gx=fx+gx=x2+1+x+2=x2+x+3 Hence, f+g=x2+x+3.