13 13 Let | f(x) dx = 5, | f(x) dæ = 7, and | f(x) dæ = 10. Find the following: (a) / f(x) dæ = (b) [ 6, (5f(x) – 7) dx

Q: Let f(x) = 4x + 3. Determine (f ofo f)(x). (f o f o f)(x)

A: Composite functions: composite functions are the functions substituted inside the other function.…

Q: Calculate , f(x) dx if the graph of f(x) is 41 2- 4 -2 -2 O 8-T O 8 + 47 O 8 + 27

A:

Q: Find F(s). F(s) = £{t(et + e5t)2}

A:

Q: [f(a)]² =

A:

Q: If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.

A:

Q: flæ)dr

A: SOLUTION-

Q: (c) [ √4x² X -dx

A: The given integration is

Q: Sx² – 4 if x # -3 -2 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: fx=x2-4if x≠-3-2if x=-3 We have to evaluate f4 , f0 , f-3 and f-23

Q: QLa f R R be given by f(x)=+3 Find (a){x: (x)=28} (8)The pre-image of 39 and 2 under f.

A: The given function is- fx=x2+3 Putting fx=28, 28=x2+3x2=25x=-5,5

Q: | (7x + 4) e dx

A:

Q: Find Df,Rf/f(x). X 3 √x + √ X

A:

Q: For f(x) = (x – 1)° and g(x) = 1- 4x, find the following. (a) (fo g)(x) (b) (go f)(x) (c) F(f(x))…

A: