Let f(x)= ex and g(x) = 2x. For all x-values, f(x) > g(x). True False

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

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Q: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: Assume that f(x) is one -to-one. Find f-1 f(x) = x3 -3 f-1(x) =

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Q: Let f(x)=4x-3. Sketch the graph of f and f-1 and find the rule of f 1,

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Q: The function f(x) is defined as f(x) = 2x + 5. What is the value of f(- 7/4)? a. -17 b. 3/2 c. 17/2…

A: given f(x)= 2x+5 f(-7/4)= 2(-7/4)+5 =-7/2+5 = -3.5+5= 1.5 = 3/2 f(-7/4)= 3/2

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

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Q: Find the domain of each function

A: Given: hx=xx To Find: The domain of the given function

Q: Let f(x) = 1 - (x + 3) + 2x. Find all values of x for which f(x) is at least 4.

A: Given that, fx=1-x+3+2x Need to evaluate the values of x for which f(x) at least 4 that is fx≥4

Q: Let f (x) = 35x. Determine all x for which f (x) = 27.

A: Given, fx=35x.   The objective is to determine the value of x for which fx=27.   So, the value of x…

Q: (a) ( (b)( (c) ( (d) ( ) satisfies g(x). ) satisfies g(x). ) satisfies g(-3x). ) satisfies -g(3x).

A:

Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

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Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

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Q: Let f(x) f-1(-7) = x +3 x + 9 О acer

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Q: Let f(x) ƒ¯¹(-4)= = x+1 x+8

A:

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…