If the domain of the function f(x) is {r E R| – 2 < x < 4}, the the domain of the function g(x) = f(2x + 4) is: O {x € R[ – 4 < x < 2} O {x € R]0 < æ < 3} O {x € R[ – 2 < < 2} O {x € R| – 3 < x < 0}

Q: Suppose f: R → R is the squaring function, that is, f(x) = x² for every real number . Mark all of…

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Q: f is a function of all real numbers defined by f(x)=x2, what is f-1({x |0<x<1})?

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Q: Let f be piecewise function defined as following: 22 + 2x – 323 • If r < -17, the value of f(x) is…

A: The function will be discontinues where the denominator vanishes or where the left hand limit is not…

Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: (b) Let the function f: R → R defined by 3x for x > 3 2x2 + 3 for - 2 < x< 3 3 x? – 7 for x<-2 f(x)…

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Q: if 8-x² -3x - 10 if In(x-1) + 3 if Select the graph of the function above: Let f(x) = - x= 6 5 4 9 2…

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Q: Refer to the following functions: p(x) = x² + 2x – 15 x+1 q(x) = x - 3 r(x) = v7-x Which of the…

A: Given functions are px=x2+2x−15, qx=x+1x−3 and rx=7−x. We have to check whether the given statements…

Q: Determine the values of b and c such that the following function is continuous on the entire real…

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Q: Refer to the following functions: p(x)= x² + 2x - 15 x+1 q(x) = x-3 r(x) = √7-x Which of the…

A: ii only is the correct statement.

Q: Express the following functions F, H and G in the form f∘g. (Enter your answers as a comma-separated…

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Q: 4. #x²+x-620, then xs-3 orx 22.

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Q: Which of the following function is a permutation of R? Select one: f(x)= x² +1 o f(x)= x° – x² – 4x…

A: If it is indeed a permutation, then it is one-to-one and onto..

Q: Suppose that the function g is defined, for all real numbers, as follows. 1 -x+2 if x #1 g(x): -3…

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Q: Suppose f and g are two functions with nonnegative values. If f(n) is (n) and g(n) is (n³/2), then…

A: We have given that , f and g are two functions with non - negative values. If fn is θn. Also , gn is…

Q: Let f(x) = and g(x) = 2х -1 Compute (f o g)(x) and determine the domain in x-2 interval notation.

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Q: Suppose that f(x) is a function such that f(5) = 0 and f(x) is positive for all x 5. What is the…

A: Find the domain of function g(x)

Q: Find the domain of the composite function f • g- f(x) =x; g(x) = 3x + 18 O {x |x 2 0} {x|x is any…

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Q: c) Determine the values of x for which the function f(x) = 2x2 −4      x<2           x + 2        2…

A: Given: Piecewise function: fx=2x2-4, x&lt;2x+2, 2&lt;x&lt;57, x≥5 For function to be continuous at…

Q: 1. Show that if x is a real number and m is an integer, then [x+m] = [x] + m 2. Draw the graph of…

A: first image is for Q2 and second image is for Q1Explanation:

Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))