Let f (x) = 2x and g(x)= (x – 3)² %3D Find g(f(x)) 0 4x +9 O4x2-9 12x +9 4x +10.x 9

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: # 8 If f(x) = 2x2 + 3 and g(x) = - 3x - 6, find f(x) g(x). %3D es 4) A) 6x3 - 12x2 - 9x + 18 B) 6x3…

A: solution:-.

Q: Suppose: h(x) = 4x3 + 5x2 +2 and f(x) = 3x- 5 %3D %3D 9. Evaluate h(1) = 10. Evaluate f(1) = %3D 11.…

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Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

A:

Q: Let f(x) = - 4x- 1, h(x)= - X- 3. | Find (fo h)(4). (f o h)(4) =

A: Given  f(x)=-4x-1h(x)=-x-3 to find foh(4)

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: fx=x+5 ;   gx=x-5

Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

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

Q: If P(x)=x2+x+3 and Q(x)=5x2−1​, find Q (1/4)

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Q: 2x – 3 Зх + 1 If f(x) and g(x) find (g – f) (x). %3D X - 4 x - 3

A: Given functions: fx=2x-3x-4gx=3x+1x-3

Q: Find the indicated outputs for f(x) = 2x² - - 2x.

A:

Q: Find (f + g)(x) if f(x) = Va – 2 and g(x) = Va. O (f + 9)(x) = Vx – 2 + va O (f + 9)(x) = v20 – 2 •…

A: According to question given that f(x)=x-2, g(x)=x

Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). 2x2 — 2х — 14 -3x2 – 2x – 1 Option 1…

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Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: For f(x) = -3x² + 5x 2, find %3D f(x + h) – f(x) h+ 0 h

A: fx=-3x2+5x-2

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: Find (go f)x f(x) = x² g(x) 2x-5 O x2-5 O 4x2-5 O 4x²+25 O 2x2-5 Question 10 f(x) = 10x - 7 g(x) =…

A: We will solve the following

Q: X If f(x) = /x, g(x) = 3 and h(x) = 3x + 9, find f(g(h(x))). |

A: Given the functionsf(x)=x,g(x)=x3 and h(x)=3x+9

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: 4. Factor f(x) into linear factors given that k is a zero. f(x) = 6x3 + 17x² – 63x +10;k=-5 a. f(x)…

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Q: 1.) Find the domain of g(x) = V7² +3 + 3x

A: Given data: The given function is g(x)=(x2+3x)1/4. The domain is the value of x or a complete set of…

Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Let f (x) = /2x +1 and g (x) = /2x – 1. Find h (x) =f (x) × g (x). %3D | a) h (x) = V4x² – 1 %3D - O…

A: Given f(x) = 2x+1g(x) = 2x-1

Q: Let f(x) and g(x) = 2x +9. %3D Then (fo g)(1) (f o g)(x) %3D

A: Substitute g(x) for x in f(x) to get (f o g)(x). This also means: (f o g)(x) = f[g(x)] Substitute…

Q: Let f(x) = 6x2 – 8x + 10. Which of the following functions is most like f(x)? d)k(a) = 3a? – 8a + 10…

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Q: If H(x) = 4x* - 8x + Vx, then find H (x).

A: Find derivative of H(X)