x) = sinx and g(x) = In x a) What is (f o g)(x) ? b) What is the domain and range of (f • g)(x) ? c) What is (g o f)(x) ?

Q: Find f given that f" (x) = 4+ 6x + 24x?, f(0) = 3, f(1) = 10

A:

Q: For the functions given, find a) (f • g)(x) and b) (f•g)(2). f(x) = x- 5, g(x) =x+8 a) (f•g)(x) =…

A: Here two functions are given f(x) and g(x) . We have to find the composite functions. That is…

Q: The domain of the function f(x) = v2x- 3 is -) a) b) c) (-0,2] d) (-0,3] b d. a O c

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Q: Let f(x) = and g(x) = - Find and simplify: (f + g)(x) Select one: A. x²+3x-1 x(x-1) B. -x+3x+1…

A:

Q: 10) Calculate; Let f(x) = 3x + 1, g(x) = 4x-7 a) f(3) + g(4) b) f(x)-g(x) c) f(2)* g(-3)

A:

Q: 11) For the function f(x)x+3 a) Find f(1) and f(m +6) b) Find the domain

A: We have been given a function and we are supposed evaluate its value for the given value/expression…

Q: iven F(X) = 4X+3, 9(x)= X²-5 evaluate (90F)(1)

A: Given,  f(x)=4x+3, g(x)=x2-5

Q: 2x + 1 3) Let f(x) = x- 1 a) What is the domain of f? b) Find f(-2), f(0), f(10), f(1000), f(10,000)…

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Q: Given f(x)=3x+1, g(x)=√x+2 and h(x)=(x-1)', simplify each of the following functions and state any…

A:

Q: f(x)= 1−x/ 1+x Evaluate:   a)  f(2)              b) f(−2)          c) f(a+1)

A:

Q: If f(x) = .Determine the value of E) (d) 8 (e) None (a)

A: Use the formula for  summation of infinity geometric series.

Q: Consider the function y = (x) where f(x) = x³ +2x2 - 4x and g(x) = x2 + 2. Determine a) the domain…

A: The domain of definition of a function is a set of those values for which we can define a function.…

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

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Q: 3. Given f(x) = x²?+ 2x and g(x) = 2x - 10, determine: a) (f + g) (x) g(x) b) c) (f og)(x) f(x)

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Q: 5. If f(x) = 2 x + 3 a) f-¹(g(x)) and g(x) = 21, find b) the domain and range of f-¹(g(x))

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Q: If f(x) = x + 7 and g(x) = x - 7, (a) f(g(x)) (b) g(f(x)) = (c) Thus g(x) is called an - Question…

A: given f(x)=x+7 and g(x)=x-7

Q: b) The difference of two real-valued functions f and is defined by f – g := f + const_1 · g. That…

A: b) We want to express the given definition of the function in terms of two indicator functions. Let…

Q: Consider the function f(x)=ln⁡(x2+3x−10) Find the domain of the function f(x) and enter your domain…

A:

Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: 6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c)…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Determine the type of functions from R to R with necessary figure. i) f(x) = 5x + 7 ii) f(x) = (x² +…

A: (i) fx=5x+7 This function is state line and has roots is x=-75

Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

A:

Q: f(x+h)-f(x) 5) Find difference quotient for the following function. h a) f(x) = 3x2 b) f(x) = 1– x?

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Q: Consider the function f(x) = 2x - 1/ x+3…

A:

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

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Q: What is the derivative of f f(x) = 7 (x² + 8) - 7 (2x) (x²+8)² 2 7 (x² + 8) +7 (2x) -7 (2x) (x²+8)²…

A: Use the quotient rule of derivative to evaluate the derivative of f(x) .