x+1 (1) For the function f(x) ,evaluate and simplify the following: x2 + 3 (c) f(x² + 3) (6) FG-1) (a) f(-1) (b) f(2a)

Q: Use f(x) = 2x - 3 and g(x) = 4 - x2 to evaluate the expression. (a) (f ∘ g)(x)    (b) (g ∘ f)(x)

A: Given, fx=2x-3 and g(x)=4-x2 a) f∘gx f∘gx=24-x2-3               =8-2x2-3              =5-2x2 Thus,…

Q: For the function f(x) = x+1                                       x2+3 , evaluate and simplify the…

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Q: Use f(x) = 2x - 3 and g(x) = 4x2 to evaluate the expression.

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Q: Given the function f(x) = - 2x? + 5x + 4, evaluate and simplify the following expressions: a. f(r +…

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Q: For  f(x) = x2 + 8x + 7,  evaluate  f(x + 2) − f(x).  Simplify

A: Given, f(x) = x2 + 8x + 7 f(x + 2) − f(x). =?

Q: Simplify the difference quotient f(x)=3x2-5x+6

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Q: For f(x) = 7x +4 and g(x) = x, find the following composite functions and state the domain of each.…

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Q: Given the function f(x) - 1+ 8x², calculate the following values: f(a) f(a + h) f(a + h) – f(a) h

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Q: Use f(x) = 3x - 5 and g(x) = 4x² to evaluate the expression. (a) (fof)(x) 9x - 20 (b) (gog)(x)…

A: Given: f(x) =3x - 5   g(x) = 4 - x2

Q: For g(x) = x² - 5x – 3, evaluate and simplify the following expressions. (a) g(x) – g(4) = %3D (b)…

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Q: f(x) g(x)*

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Q: Find the following for the function f(x) = 4x +3x-4. (a) f(0) (e) -f(x) (b) f(5) (f) f(x + 2) (c)…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: If f (x) 3r3, evaluate f(2s). f(2s) 2 Edit

A: Evaluation:The given function is f(x) = 3x3.Substitute x = 2s in the above function.

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

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

Q: (1) For the function f(x) x +1 ,evaluate and simplify the following: x² + 3 a (c) f(x² + 3) (d) fE –…

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Q: Use f(x) = 5x - 6 and g(x) = 4 - x2 to evaluate the expression. (a) f(g(0)) 25x – 30 (b) g(f(0)) -12…

A: We have given : f(x) = 5x - 6                               g(x) = 4 -x2 To Find: a   fg 0b  gf0

Q: Use f(x) = 3x-4 and g(x)=5-2x² to evaluate the expressions in simplified form: a. (fog(x) b. (g•x)

A: Given functions: fx=3x-4gx=5-2x2

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.