Find f ∘ g, g ∘ f, and g ∘ g. f(x) = x2,    g(x) = x − 4 (a)     f ∘ g x=0       (b)     g ∘ f x=4

Q: 4. f (x) = 5 - x and (gof) (x) = x2-10x + 30 since the function g(x) is the following- which is…

A: The solution is:

Q: 1. Jika f (x) = 1 – 3x dan g (x) = 2x² + x. Tentukanlah : a) (fo g)(x) b) (fo g)(-1) c) (g o f)(x)…

A: Given   f(x)=1-3x    g(x)=2x2+xTentukanlah:a) (f ∘ g)(x)b) (f ∘ g)(-1)c) (g ∘ f)(x)d) (g ∘ f)(-2)

Q: a) If g(x) = 2x + 10 and h(x) = 3x - 2, 3 Find: - g[h(x)] = and express in its simplest form b) If…

A: Since in the given question in part (b) you asked for g inverse but there is a function f so, we…

Q: a. f,(Xx)=x f2(x)=x² fa(x)=1-2x² b. f,(x)= e3x f2(x)=e5x fg(x)= e=* C. f,(x) = x-1 f2(x) = x'/2…

A: We have to choose the function that is linearly dependent on the given interval

Q: 3. f(x)=-5sin ax+- 江x- +2 2

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Q: Ax) = x + 1 g(x) = 5 – x (f + g)(x) = O x2 + x- 4 O x +x+ 4 x² - x + 6 x² + x + 6

A: We have  given  functions fx=x2+1 gx=5-x So, f+gx=fx+gx f+gx=x2+1+5-x f+gx= x2-x+6

Q: • The domain of f (x) 3-x is 1-x2 %3D 1. R 2. R/{1,-1} 3. R/{3} 4. (0, c0)

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Q: 0,x1 (x+2,x<-1 10. f(x)= %3D 2,x2-1

A: Answer

Q: f(x) = 3x + 7     g(x) = 4x + 5   and   h(x) = 3x – 5                                           3…

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Q: If f(x) = 4x2 + 1 satisfies Rolle's Theorem on [a, 2], then a = 2 -1 -2 none

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Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: (r-1) (x-1) If f(x) = (2x+5) and g(x) = then the function (2) (x) is (2x-5) (2x+5) a) (E) (x) =…

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Q: f(x)=4x+2 g(x)=-x^2+9x-2g(x)=−x2+9x−2 \text{Find: } f(x) \cdot g(x)Find: f(x)⋅g(x)

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Q: 2. If f(x) = x - 3 and g(x) = x2 + x, what is the composition g(f(x))? a) x2 + x + 9 b) x2 - 5x…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: f f(x)=x4+6,g(x)=x−9,h(x)=√xf(x)=x4+6,g(x)=x-9,h(x)=x, then f∘g∘h(x)f∘g∘h(x)=

A: We have to calculate  f∘g∘h We have the given function as f(x)=x4+6g(x)=x−9h(x)=√x   We have to…

Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: 2. Given : f(x) = {x² - 3, x+3 6, %3D X = 3

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Q: find f ° g ° h f(x)=x-5, g(x)=square root of x, h(x)=x-5

A: Solution:

Q: f(x)=x^2+3x-70f(x)=x2+3x−70 and g(x)=x+10g(x)=x+10, find f(x)\div g(x)f(x)÷g(x) and express the…

A: GIVEN THAT f(x)=x2+3x-70  &amp; g(x)=x+10  TO DETERMINE   f(x)g(x)

Q: Let k(x)=f(x)g(x)h(x). If f(x)=−3x+4,g(x)=−x+4, and h(x)=−3x2−4x+3, what is k′(x)?

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Q: Explain how the graph of g is obtained from the graph of f.

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Q: x -4x +5 - Prove that: f' x x-2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3 fx} -1 2 4 5 -1 f(0) = 3 f(x) = 0, x = f-'(0) = f-'(x) = 0, x = 3.

A: we have to find the following

Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

A:

Q: A. В. C. f (x) = f-1 (x) = ƒl (x) x+5 е 2 102 + 5 102x+5 D. f (x) = f-1 (x) = f' (x) e2a + 5 Е. F.…

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Q: Derven g(x) = (a of the ax (4-x) 0≤x44 -2x -8≤X 20 value of g(x) is O average Find the value of

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Q: If g(x)+xsin(g(x)) = x2-16 and g(4) = 0, then g'(4)=?

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Q: Let h(x) = f(x)g(x). If f(x) = -5a2 +5x- 4, g(2) = 3, and g'(2) = -4, what is h'(2)? %3D %3D Provide…

A: Find the derivative of h at x=2

Q: Explain how the graph of g is obtained from the graph of f.

A: Given: a  fx=x, gx=x+2-2b  fx=x ,gx=x-2+2 Concept Used: f(x)+a shifts graph a unit upward f(x)-a…

Q: 0,x1 x+2,x<-1 f (x)= %3D 2,x2-1

A: Interval notation is a way to describe continuous sets of real numbers by the numbers that bound…

Q: If f(x)=/2x and g(x)=1-x², then (gof)'(x)= %3D

A: =&gt;(g.f)(x)=g(f(x))

Q: 1. f(x) = x², g(x) = 6-x 2. f(x) = x+ + 2x², 3. f(x) = 3+√√2x_g(x)=x-1 g(x) = 6x²

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: 16. If f(x) = 3x + 1 and g(x) = x² + 2, then (gof)(x) = (o = composition)

A: Given that, f(x)= 3x+1 g(x)=x^2+2 We have to find (gof)(x)

Q: 2. If f(x) = x - 2 and g(x) = x2 + 2x, what is the composition g(f(x))? A) x2 - 2x B) x3 - 4x…

A: Given  f(x)=x-2g(x)=x2+2x To find g[f(x)]

Q: f(x)=(x^2+2x+3)^3, then f′(x) =    f′(1

A: First find derivative then put x=1

Q: If f (x) = e2" (x³+1), then f' (1) =

A: The function is given by fx = e2xx3+1 To evaluate : The value of f'(1)

Q: a. Ak x+2, y=x→_ b. As x→2, y =-x →_ 6. As x → 2. y =x'+ 3x² →. d. As x→-0, y =-3x² →. e. As x→2, y…

A: answer of given question is in step 2

Q: f(x) = x³ – 3x²

A: Given: f(x) =x3 -3x2 -9x +27

Q: Explain how the graph of g is obtained from the graph of f.

A: a. f(x)=x3, g(x)=(x-4)3 b. f(x)=x3 , g(x)=x3-4

Q: r(x)=x-2/x^2+2x+1 As x right arrow - infinity, r(x) right arrow As x right arrow infinity, r(x)…

A: Taking highest factor common from denominator and numerator evaluate the following limit

Q: Given: F(x) = 2x 2+ 1, G(x) = 2x - 1, H(x) = x F(x) + G(x) = 2x²+2x 2x²+2x+2 4x³

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Q: x² - 4 x2

A: Consider the given piecewise function

Q: f(x)=4x-3, g(x)=x+4, (f+g)(x)=

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Q: |x + 2, x> 0 讨论函数f(x) = 在x=0的连续性. х — 2, х <0 -

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Q: x,x 3 (1 – x², x > 2 12x – 7,x < 2 - f(x) =

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Q: 3 f(x) 2dx=-3, [(g(x)-2)edx = 1 [2g(x)xx =10 and f-g(x)h =-1.2 Let 4 -2 Find [(f(x)-3)cdx

A: Given : ∫-24fx4dx = -3, ∫-20gx - 2dx = 1 , ∫432gxdx = 10 and ∫04-gxdx = -1.2   To find :…

Q: A. If f(x) = x + 2x + 1 and g(x) = x² - 3x + 16, find a value of x such that f(x) = g(x). %3D B. If…

A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Given that f(x) = 2x + 5  g(x) = 2x – 6/x  and h(x) = x2 – 5     Find:- i) f(-4) =  ( ii) h[f(-6)] =…

A: As per the instruction, we will be answering only the first three subparts. Given: f(x) = 2x + 5…

Q: С. -5- i.) f (3) = %3D 4-+ ii.) If f(x) = 2 , then x = or %3D 2- -2- %24

A: