range of the function. (a) If f(x) = 3x + 4, find the image of 4. (b) If f(x) = 7x + 5, find the image of -1. %3D (c) If f(x) = 4x + 1, find the pre-image of 13. %3D (d) If g(x) = 2x + 5, find the pre-image of 15. (a) Let f(x) = x + 4 be a function defined in the interval -5 sxs 5. find ff-2), f(21 f(3), f(7). (b) If g(x) = x² + 5 defined – 6 5 x5 7, find g(2), g(7), g(8). (a) (a) A function f: N→ N is defined by f[X) = x + 3, is f one to one and onto or both ? What is the pre-image of 100. anta Excel In Opt. Mathematics - Book 9

Q: (1 point) Let f(x) = x² – 6x and g(x) = x – 6. Evaluate the following - %3D 1. (fo g)(x)= 2. (go…

A:

Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

A:

Q: Find f(x) g(x) = (fg)(x). Simplify. f(x) = x2 + 2 %3D g(x) = x2 - x + 9

A: Given, f(x) = x2+2 g(x) = x2-x+9

Q: 3 2 1- -1- -2 -3 4 g(x) = (x – 1)² – 4 | g(x) = (x + 1)? – 4 g(x) = (x – 3)² – 8

A: Given query is to find the equation of the graph.

Q: g(4) =D (Simplify your answer. Type an integer or a fraction.) If g(x) = 6. , find g(4).

A: Find g(4)

Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

A:

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: Differentiate the following function. 2 + 6t s(t) = (P-1) (-7) %3D Choose the correct answer below.…

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Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

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Q: Find (f + g)(1). f = {(1, -2), (0, -1)} and g = {(5, 0), (1, -3), (2, -4), (-2,4)}

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Q: x-x +x -x* +.. 3 X-X+x X %3D

A:

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Homework: Find (fag), (gof), (faf) and (gg) of the following functic 1. f(x) = x'; g(x) = x² +3. 2.…

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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: 5. f(x) = c= x3-x %3D

A:

Q: Consider the functions: f(x) = and g(x) = . %3! %3D Find the expression for the composition of…

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Q: = Evaluate f(2) - f(1) f(x) = 6x + 1 %3D

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Q: 4. If f(x) = -6x and g(x) = -6x %3D 203 2x+3 and g(x) = 3x 5. If h(x) = %3D

A: The solution are next step

Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to TU 2e4

A: The explanation of answer as follows :

Q: Let f(x) = - 9x + 20 and g(x) = x² + 8. Find f(- 5) • g(- 5). f(- 5) • g(- 5) =

A:

Q: Let f = {(5,3),(8,9),(3,8)} and g = 5x +4. Find f(3) + g(3). %3D

A: Given that f = { (5, 3), (8, 9), (3, 8) } Clearly we can say that f(3) = 8 as (3,8) belongs to f

Q: Drawthegraphofy = -e(x- 2).

A: Given- y=-ex-2 To draw- The graph of the above expression.

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6