10 1 If f is a continuous function and F'(x)=f(x) for all x € R, then fGx)dx=? LF(10) – F(2)] [FIS)- F(1)] © 2[F(10)– F(2)] O 2[F(5) – F(1)]

Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: 2+x 5. Given f(x) =<tX Find X-4 %3D a) fe) b) f(a+1) c) f(x) + f(h)

A:

Q: 13. Let ƒ(x) = 1 3 1+(3x+2)² 2√√3x +2 Find f (17). 12

A: The given function, fx=11+3x+22.323x+2 we have to find the value of f-712

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: The function f(x)=(2-x)/(3) is continuous at

A:

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

A:

Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: 1 x-2 f(x)=- y g(x)=√x

A: To find the composite function

Q: 5. If f(x) = 2 x + 3 a) f-¹(g(x)) and g(x) = 21, find b) the domain and range of f-¹(g(x))

A:

Q: e +1 Differentiate the function f(x)= In 5x +1 Se+1 3ex+1 Sesz e3x +1 ,5x +1 e 3e3z Sesz e3x +1 5x…

A:

Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

A:

Q: state all intervals of x where f(x) is increasing.

A: TO FIND INTERVAL WHERE f(x) is INCREASING FIND f '(x) and see interval where f '(x) &gt;0 f(x)…

Q: If f(x) = x + 9 – x and g(u) = u + V9 – u, is it true that f= g? Yes No

A:

Q: Let f(x) = 4x- 1, h(x)= -x+1. %D Find (f o h)(3). (f o h){3} =] %3D

A: Composite function  foh (x) is given by  foh(x) = f(h(x))

Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

A:

Q: Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1,…

A: A composite function is generally a function that is written inside another function. Composition…

Q: 4. please help!'   Calculate the domain of the function:

A: Step 1:

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A:

Q: 2x+11 1 Consider f dx = x2+x-6 x-2 x+3 then evaluate S(-dx xp(* - 3 x+3

A:

Q: Vipul

A: The objective of the question is to find the probability density function of the random variable Z,…

Q: differentiate f(x) = O O O O - 1 1 9x2+ 13x-5 18x + 13 (9x²+ 13x - 5) 3/2 1 (9x² + 13x - 5) 3/2 18x…

A:

Q: Express the function in the form fog. (i) F(x) = (2r + r*)ª. (ii) F(r) = %3D 1+ VE

A: Answer

Q: Compute f(5) (e) forthe function f(x) = x³.In(x+)

A: f(x)=x3.ln(x4)f(x)=4x3ln(x)Differentiatef'(x)=4x2+3x2ln(x)f'(x)=4x2+12x2ln(x)Differentiatef''(x)=8x+…

Q: Consider the function f(x) = 2x - 1/ x+3…

A:

Q: Let S = {1,3,5}.  Find f(S)

A: