3. Find (f g)(2) if f(x) = x² + a +1 and g(x) = x- x- 1. %3D %3D O (f 9)(x) = a* + 2 + 3x +2x +1 O (f 9)(x) = a* + æ² + 2x +1 %3D O (f 9)(x) = a* - a? - 20- 1 %3D O (f 9)(x) = a* – 2a- 322- 2x- 1

Q: If fx) = 2x3 - 4x2 + 2, and %3D g(x) = x - 2x2 - 2x+ 4, then f(x) - g(x) = es 4) A) x3 - 2x2 + 2x- 2…

A: here option A is true

Q: If f(x) = x/2 + 3, what is f-¹(x)? Of-¹(x) = -2(x-3) Of-1(x) = 2/(x+6) Of-¹(x)=2x-3 Of-1(x) = 2(x-3)

A: The given function is f(x)=x2+3. To Find: Inverse of this function.

Q: The set of zeros of f(x) = x³ + 4x² + 4x is (B) {0, -2} (C) {0, 2} (D) {2} (A){-2}

A: find the zeros of the function fx=x3+4x2+4x

Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

A:

Q: csc -1Vxdx (6) Vx3 -x2 CSC x3-x2

A: From the given problem:   I=∫csc-1xx3-x2dx   So we can also write as:   I=∫--2csc-1x·12x-1xdx.....1…

Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

A:

Q: If h(x) = x² + 2 then h*(11) + h(-4) is

A: We have to find the value

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

A:

Q: If f(z) = (a") + and f(z +y) + f(z-y) Kf(z)f(y), then the 21 value of K.

A: Given that: *f(x)=ax+a-x2 *f(x+y)+f(x-y)=K×f(x)×f(y) Thus, the function f(x+y) is,…

Q: For the functions f(x) = x² - x - 6 and g(x) = x - 3, to: ○ a) ( ½ )(x) = x³ − 4x² − 3x +9 - - b)…

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

A:

Q: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

A: Given a function f(x)=4x3+5x2+6x-7 We have to the following of the given function, f''(x) f''(0)…

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: VERIFY THAT ( X + 3 )( X + 21 ) = (X + 21 )( X + 3 ) = x² - 5X + 61 FOR 1 2 1 X = 3 3 1 4

A:

Q: Let f(2) = x² +1 and g(z) = z² - 1 Then (fo f)(z) -X (fo g)(x) (go )(x) : x*4-x^2+1 x*4+x^2-1 Note:…

A: Consider the following functions: fx=x2+1gx=x2-1 ffx=x2+12+1=x4+2x2+1+1=x4+2x2+2…

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: lim [x² + 3x – 5]

A:

Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: If f(x) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

A:

Q: /x + 3 + 4 – x > - 3

A: Answer

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

A:

Q: B. Let f(x) = x – x - 4 and g(x) = 2x – 6 4.) Find ()(x - 1) 5.) Find (4) (x)

A: topic - functions

Q: In(4)=3x+1

A: Given :                       ln(4) = 3 x + 1