Question 12 a) Functions f(x) and g(x) are defined as follows: 5x+2 6 f(x) = g(x) = e²x - 1 The range of g(x) is g(x) > 3. State the domain of g(x). (-∞0 < x < ∞0) i) ii) Find f[g(ln 3)]. iii) Solve f-¹(17) = x.

Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

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Q: f(x + h) - f(x) What is the constant term when is performed, and it is given that h f(x) = x2 – x.

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Q: A table of values for f, g, f', and g' is given. X -8 -7 -6 f(x) g(x) f'(x) g'(x) -6 -8 -2 -7 -1 -7…

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Q: If f, g, and h are the given functions were f(x) = 5                g(x) = x2   h(x) = x - 5…

A: The given question is of the composite function which is solved in step 2.

Q: Question 9 > Given that f() 9x – 8 and g(x) = 3 – x², calculate (a) f(9(0))= | (b) g(f(0))=

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Q: 9) Given f(x)=x²-2 a) Find an expression for f¹ (f's inverse) b) Graph both f(x) and f¹(x) on the…

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Q: Q6 For the following function f(x) & g(x) a) Find (i) fg (ii) f/g, and (iii) state their respective…

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Q: F(X)= X-11 and 9(x) is defined by the table below %31 -10 -1 @Find (goFJ (1) BFind (Fog1)7)

A: The objective of the question is determine the composition of functions at given data.

Q: Let two functions be f (x) = Ax +3,9 (x) = Bæ? What are the possible values of A and B if (f o g)…

A: Put g(x) in place of x in f(x) first

Q: 4- The domain of the function f (x) = is: (a) (1, +∞) (b) (1, +∞] (c) (-∞, 1) (d) [0,1]

A: According to the bartleby guidelines, for more than one question asked, the 1st question should be…

Q: 8/x+21  How do I find the followings?  f (a) = f (a) + f (h) = f (a + h) =

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Q: Based on the graphs of f(x) and g(x), in which interval(s) are both functions increasing?…

A: Domain of g(x) can be broken into following intervals: (-inf,-3), (-3,-1) and (-1,inf) In each…

Q: Find fo go h. f(x) X g(x) = x³, h(x) = x + 6

A: Given :

Q: (a) Two functions are given as follows: f(x)=3x+2 2 g(x)= x-1 (1) (ii) Determine the function…

A: Given problem:- 2. (a) Two functions are given as follows:            f(x) = 3x + 2           g(x)…

Q: f(x) = √x+1 g(x) = log(102tan(x)), h(x) = x 1) Find Domain and Range of f(x). 2) Sketch the graph of…

A: 2)

Q: (1 and 2) Explain how to solve these question in detailed steps.

A: Step 1:1. Given, f(x)=8x3+81x2−42x−8, we need to find absolute maximum point on the interval [-4,…

Q: 3. Given the functions Ax) = x - 3x - 10 and g(x) = x - 5x, determine the equation(s) of the…

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Q: EXAMPLE 3 If f(2) = 5, (4) = 6, and f(7) = -9, find f -'(6), f ·'(5), and f '(-9). SOLUTION -1 From…

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Q: X Sketch of f(x)= ƒ(x) = -√²-4

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Q: if x 0 find: (a) f(-2) (b) f(0) (c) f(2)

A: Given,

Q: 7. 4- 3- -7 -6 -5 -4 -3 2 6. -3- -4 -5- -6- -7 2)

A: Given that, The graph of any function is given. We have to find ithe interval in which the function…

Q: = 2x2 + 2x. Let f(x) = 2x + 5 and g(x) After simplifying, (f o g)(x) =

A: Concept -(Fog)(x)=F(g(x)) Similarly GoF(x)=G(F(x))

Q: function has the form f(x)=a+b ln(x) find f if it is known that f(1)=8 and f(2)=14

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x* – 32x² + 4 (a) Find…

A: It is given that fx=x4-32x2+4. We have to find the intervals in which the function is increasing and…

Q: Given that f(x) = (x − 2)² and g(x) = 2 — 5x, find (a) (f+g)(-1)= (b) (f-g)(-1)= (c) (fg)(-1)= (d) ✔…

A: Given query is to find the value of the Indicated function operation.