Calculate the derivative using the appropriate rule or combination of rules. g(2) = 2² +21 2²+2z-8 z²+3z +2 z+4

Q: Let f(x) = 3x2. Find f(3 + h). f(3 + h) = Find (3 + h) – f(3) h f(3 + h) – f(3) Compute f'(3) by…

A: Given; f(x)=3x2

Q: t = (F³ + G)a

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Q: Write the function y = x2 + 3x – 3 in function notation and find f (a + 2).

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Q: 2.x4 h(x) = 5x³ + 6 .

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Q: Determine the domain of the function (x)= Vr2 - a2

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Q: b f (x) = Tx2 - a² R\{a,-a} R\{a²,-a²} R\{a²}

A: f(x)=bx2-a2

Q: The x-intercept of f(x)=V2x+4 is: O a. There is no x-intercept O b. (4,0) O c. None O d. (-2,0) O e.…

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Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: 8. Let f(x) = x² - 3x + 1 and g(x) 2x² + 5x - 3. a. Find f(x) - g(x + 2). Simplify as much as…

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Q: Find the discriminant of: f(x)=(5x+4)(2x+2)

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Q: Find all the x-intercepts and end behavior of f (x) = x3+ 4x2+ 4x.

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Q: • S (++:) (- 1 x2 – 1 dx - x2

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Q: Use the function rule f(x)=8x−6. Find the output.   f(0)

A: We  have to find function value