if x > 2 Given f(x) = {ax² + 10 (x² – 6x + B if x < 2 ’ (a) Find an equation relating a and ß if f(x) is to be continuous at x = 2 (where a and B are constants).

Q: If f (x) = x? x, match the following expressions to their values.

A: Given that f(x) = x2 - x. Our aim is match the following expression to their values.

Q: Find any veritical, horizontal or oblique asymtotes of f(x)= 4-3x/2x-1

A: To find the vertical, horizontal or oblique asymptotes.

Q: 2. Find the zeros of f(x)=x² -x-12.

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Q: Find f(g(x)) if f(x) = (3x+1)/x and g(x) = -2x + 1.

A: Given functions  f( x ) = ( 3x + 1 )xg( x ) = ( -2x + 1 )

Q: For problem 1-2, use f (x) = x² + 1 and g(x) = Vx – 1 to determine the indicated function. State the…

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Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: find f-1 (x) for one-to-one function for f (x) = exsponent 5 of the quare root of  6x − 5 .

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Q: If f(x) = x3 + 1, then give the following

A: Consider the function: fx=x3+1

Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: If f (x) = x3, find f (x + h) - f (x) h , where h ∙ 0

A: A function is a relation between one variable and the other variable. The input of the function is…

Q: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

Q: Let f(x)=x+2x+9f−1(−8)=

A: The given function is

Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: If f(x)=(m-4)x+7 is a constant function m =?

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Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: For each of the following functions i) f(x) = -2 x²(x² − 9), ii) g(x) = (x + 2)(x − 3)(x² − 4). a)…

A: Given function, fx=-2x2x2-9 To sketch the graph of the function, should use the some important key…

Q: (QUES-7337) Recall the compound interest formula A= a(1 + ". Use the definition of a logarithm along…

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Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

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Q: If F(x)=4-x and g(x) = 2x +3, find a value of such that F(x - 2) = g(2x). 40 22/10 0-2 O 0-1/3 O LO…

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