6) Given that (2-6) is on the graph of y = f(x) what must be on the graph of a. g(x) = -f(x)-2 TER b. g(x)=3f(-x)+1 c. g(x) = -f(x+2)+1

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A: In this mathematical problem, we are tasked with choosing the correct option and providing an…

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A: We need to draw graph of given function.

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A:

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A: Given, gx=4x+2. a. Substitute -1 for x in the given function and simplify. g-1=4-1+2=-4+2=-2…

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A: Given Data: Function: g(x)=x2 ......(1) The value g(2+h) can be obtained by substituting the…

Q: The graph of f(x) = x³ is reflected over the y-axis, vertically stretched by by a fac- tor of 4,…

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Q: Which of the following functions might have the graphshown? (More than one answer is possible.)

A: Graph of the line is given , we have to identify the equation

Q: Consider the graph of f(x). y 8 6 4 2 -2 -4 -6 -8- (a) Estimate f(5). (b) Estimate x, such that f(x)…

A: Given that a graph of f(x) or y and x . We find the value of f(5) . And if f(x)= -4 then what is x.…

Q: 2 Let f(x) = 3x² + 3x + 4 and let g(h) Determine each of the following: (a) g(1) (b) g(0.1) = (c)…

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A:

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A: f(x) = |x| g(x) = |x+3|

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A:

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A: Here we have to draw a graph of given linear function and explain x and y. The give function is…

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A: Take the image in the line y=0 to obtain -f(x).

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Q: This is the final answer to the problem: (a) f (g(x))= + Domain: + (b) g(f (x)) = + Domain:

A: Topic = Functions The domain of a function is the complete set of possible values of the independent…

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A: I am attaching image so that you understand each and every step.

Q: if x -1 x+3 Let f(x) = -2 Sketch the graph of y = f(x).

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Q: √(-1-x); (4) Let g(x) = { x²; 3x - 5; if x < -1 if -1 < x < 2 if x ≥ 2. (b) Sketch the graph of y =…

A: