Evaluate the piecewise function at the given values of the independent variable. f(x) = (a) f(-4) (b) f(0) (c) f(1) 4x+4 x+5 (a) f(-4)= (b) f(0) = (c) f(1) = if x<0 if x 20 ***

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A: A function f is one-to-one if every element of the range of f corresponds to exactly one element of…

Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

A:

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: Let f(x) = 3x? +x - 5. Evaluate each function value. (b) f(0) (a) f(-2) (c) f(4) (d) f(;)

A: Given function is fx=3x2+x-5. (a) To find f-2. Solution: We have fx=3x2+x-5. Put x=-2…

Q: Let f(x)=|4+10x|.

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Q: if f(x-1)= x- 16x+3 It Find (x+)

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Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: Let f(x) = x + 3 if x ≥ 5, 8 if x &lt; 5. Find f(12) - f(-12).

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Q: (x(x+1), if x S-2 f (x) ={ 4x +5, if -2< x<1 - 2x +3, if x 2 1

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Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

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Q: ctic

A: Given, f(x) = x^2 - 2x

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

A:

Q: Assume that f is a one-to-one function. (a) If f(7) = 15, find f(15). f-1(15) = (b) If f-1(40) = 20,…

A: Use one to one function property

Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, =&gt; f-1(y)=x

Q: Examples of consecitive odd iteges -5, -3, - 1, !, 3, 5, 7,... くバパン パパン a 2 2 2 X = omallest integer…

A: The value of x after solving are 27 and -29. We have to give the final answer.

Q: Determine h (x²) for the following function. h(x) = 4x x² - 4x + 5

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Q: Let f(x) = x* + 5x³ + 8x² + 3x.

A: The power derivative of y=xn  is given by, y'=dydx=ddxxn =nxn-1 Linear property of differentiation:…