Practice 2: Suppose that f(2)=-3, g(2)=4, f(2)=-2, and g (2) =7. h(x) = f(x) g(x)+5g(x)- 100 Find h'(2)

Q: Simplify the difference quotient g(x)=f(x+h)-f(x)/h when f(x)=1/x. What happens to g(x) as h -> 0?

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Q: If g(x)=4x/3, find g(4)

A: To solve these type of equality just put the value in the function then you will get your answere

Q: What happens to the values of h(x)=(x2 +2x-15)/(x2 -9) as x- > 3?

A: Our objective is to find the limit

Q: the x's for -3

A: Given:

Q: f(x)=√x-2 if x>-1; f(-2) 1-(x-2) ifx ≤-1

A: To find f(-2) , substitute x= -2 in the corresponding function.

Q: Find f(x) • g(x)= (fg)(x). Simplify. F(x)=x^2+8 G(x)=x^2-x+3 (Fg)(x)=

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Q: Let f(x)=x+4 and g(x)=x2−x (f+g)(5)=  Simply your answer

A: It is given that fx=x+4 and gx=x2-x.

Q: How to find f-1(x) of f(x)=x2-18x. Can you please give steps as well.

A: The given function is f(x) = x2–18x.Replace f(x) by y as y = x2–18x.Interchange the variables and…

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: What happens to the values of f(x)=(x2-2x-3)/(x2-3x) as x ->0 ?

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Q: When f-1(x)=(4x-3)/(x-2), what is f(f-1(x))?

A: Given inverse of the function is

Q: f(x) = 9x -x? X6=

A: Draw the graph of the function f(x)=9x-x2.   The graph signifies that the curve has  horizontal…

Q: If f(x) − x3 - x, find f"'(x) and f (4)(x).

A: Given function is: fx=x3-x We have to find f'''x and f4x.

Q: If f(x)=x^2 −1,g(x)=2x−3, find the following new functions, as well as any values indicated A)…

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Q: Solve for f(2) f(x)=-3x+3 f(2)=?

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Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

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Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

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Q: Find f. g, g. f, and g. g. f(x) = 3x, g(x) = x² (a) fog (b) g.f (c) 9.9

A: given f(x)=3x and g(x)=x4