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: 22. 2x" +3x' =0. %3D

A: Given differential equation is  2x''+3x'=0                  (i) It is a second order homogeneous…

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: 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)*

A:

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) evaluate and simplify the following: x² + 3' (c) f(x² + 3) (4) fG - 1) (a)…

A: The detailed solution is as follows below:

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: 3. Compute and completely sin (a) f(x) = 7-x+2x²

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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

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.