Use  f(x) = 4x − 5  and  g(x) = 2 − x2  to evaluate the expression. (a)     f(g(0))       (b)     g(f(0))

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: Use f(x) = 3x – 2 and g(x) = 5 – x2 to evaluate the expression. | (a) (fo )(x) (b) (g o g)(x)

A: We have to evaluate f composition of f and g composition of g .

Q: Evaluate (f · g) (x) , where х— 061 1 f (x) x+3 g (x) x-2

A: Function value at a point is obtained by substituting the point in the function definition. Product…

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

A:

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.