2. If f(x) = 1 + x², find fof 3.lf f(x) = -x, g(x) = 2x + 1 and h(x) = x², find fogoh,

Q: Let ​f(x)=4x−1 and ​g(x)=x2+ 5.   Find ​(f◦​g)(0​).

A: Composition of function is found by plugging the inner function in place of variable of the outer…

Q: If f(x) = V2x and (fg)(x) = 2x, find g(x).

A: A function is a relationship between set of input values and output values. The given fx is a…

Q: Find f(g(x)) if f(x) = (3x+1)/x and g(x) = -2x + 1.

A: Given functions  f( x ) = ( 3x + 1 )xg( x ) = ( -2x + 1 )

Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: If f(x) = x3 + 1, then give the following

A: Consider the function: fx=x3+1

Q: Which of the following statements is incorrect? sin x { A} lim = 1 {C} lim k = k; k is a constant 1…

A:

Q: If f (x) = x3, find f (x + h) - f (x) h , where h ∙ 0

A: A function is a relation between one variable and the other variable. The input of the function is…

Q: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

Q: Let f(x) = 2(x − 3)2 − 4. Find  f(4). f(4) =

A: To calculate f(4) when f(x) is given , we just need to put x=4.

Q: For f(x)-2x?+5х +7, fin f (a +h) – f(a) if h ±0. h

A: Given that:fx=2x2+5x+7To find:fa+h-fah

Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

A:

Q: For f(x) = x? – 3x + 5, find f(2), f'(2), and f(3) – f(2). a. f(2) b. f'(2) = c. f(3) – f(2) =

A: Given that, f(x)=x2-3x+5

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

A:

Q: 5. Given f(x) =-x+ 3 and g(x) = 2x2 – 5, find the value of f (0) + g(1).

A:

Q: If f(x) = V15x, find f (x). Find f (3).

A:

Q: If f(x) = x2 + 3x - 1, find:

A: Given:fx=x2+3x-1fa+h-fah

Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: If f(x) = V5x – 3, find f-1(x).

A:

Q: Define f (x) = 2 – 3x2. Find the exact value of f (). (€)

A:

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

A:

Q: 2. Determine fx(x); x² + 1 f (x) = 3x

A: