Write the function in the form f(x) = (x − k)q(x) + r(x) for the given value of k. f(x) = -3x³ + 14x² + 6x − 24, k = 3 + √√3 f(x) Demonstrate that f(k) = r. f(3+√3)=

Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

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Q: Determine the domain of f(x) = √(10 - 2x).

A: Given: fx=10-2x Domain of a function is the set of all values of x for which function is defined and…

Q: Consider f(x) = 3x4 −16x3 +24x2 −9. sketch the function

A: We have to sketch the given function.

Q: Consider the function P(x) = x3 – 16+ 8x +10x².

A: Rearrange the P(x)

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

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Q: Find the domain of f if 2x + 1 f(x) = 2x2 – x – 1

A: Given: fx=2x+12x2-x-1 Domain of a function is set of all values of x for which function is defined…

Q: +6. The inflection 1 place).

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Q: Find the inflection points of f(x) =x* +x° – 18x² +6. |

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Q: for f(x)= 64-x2/x2-4x-12 and g(x)= x2+10x+16/ x2-14x+48, find an equation of the giving funtion,…

A: Find f(x)/g(x):

Q: Find f5(x) if f(x)= 3√3x+2

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Q: Consider the function f defined by f(x) = (3 – x)(4 + 3x). What is f(-3)?

A: Given  f(x)=(3-x)(4+3x)

Q: Let f(x) = 9x + 7x2. Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

A: The objective of this question is to compute the difference quotient of the function f(x) = 9x +…

Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

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Q: Find the domain of the function f(x) = √x + √(1 − x)

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