Consider the function. f(x) = x7 – 2 (a) Find the inverse function of f. ft(x) = (x+2 (b) Graph fand f-1 on the same set of coordinate axes. y 8- 7 6 5 4 3 -3 -2 1 1 -2 -3 1 Domain of f-1 f Range of f-1 L 3 4 5 6 7 y 41 (c) Describe the relationship between the graphs. -8 X -3 -2 1 The graphs of f and f-1 are reflections of each other across the line y 81 7 6 5 3 2 X -7 -6 -5 -4 -3 -2 -1 23 -7 -6 -5 -4 -3 -2 -1 -1 20 -3 -4 -5 -6 -7 4 3 1 -2 -3 (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) Domain of f Range of f 1 3 4 5 6 7 y 4 3 2 -11 -3 -4 -5 -6 -7 f 23 X X

Q: Use the graphs of f and g to evaluate the functions. y = g(x) 3 2 2 3 (a) (f - g)(1) (b) (fg)(1)

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Q: Sketch the graph of f.

A: Consider the given information. fx=ex-2 Make the table for the function. x fx=ex-2 -2 e-4 -1…

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A:

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Q: Simone wants to create a graph of the function g(x)= ● Step 1: g (x) = (18e¹0+7x) −1 Step 2: g(x) =…

A: We need to write down that the step 1 and step 2 are correct or not.

Q: Sketch the Function y= X+2

A: Given function : y=x+2

Q: Graph the function f(x) = (x+5)-4 by starting with the graph of y=x2 and using transformations…

A: The graph of y = x2 is given below

Q: Sketch the graph of f.

A: To sketch the graph of the given function:…

Q: Use the graphs of functions f and g to answer the problem. (f. g)(3) (f. g)(3) = 1 Enter an exact…

A:

Q: True or false: fo g is the same function as go f.

A: Solution: The given statement is  fog is the same function as gof? Let  f(x) = x2g(x) = x+1 then…

Q: (a) Complete the table of values of f(x) for x = -3, -2, –1,0, 1,2, 3. -3 -2 -1 2 3 f(x) (b) Which…

A: x -3 -2 -1 0 1 2 3 f(x) 0.015625 0.0625 0.25 1 4 16 64

Q: b) Differentiate between the domain and range of your function.

A: Topic  =Functions