12 10 -2 10 12 14 O f(x) = x for x>1 O f(x) = 3x for x> -1 O f(x) = x for x>-1 O f(x) = x for x2-1

Q: -(x+6)2 + 4 for x 2 VI

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Q: 1 f(x) = 1. a = -2 x + 2 1 if x + -2 2. f(x) = x + 2 a = -2 1 if x = -2 + 3 if x -1

A: See the attachment

Q: evaluate the function. [3x – 1, if x 1 [3x – 1, if x 1 f(0) f(1) f(5) f(-4) g(0) 8(-3) g(1) g(3)…

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Q: Let if a < - 5 if -5 < x < – 1 3 if -1<x < 3 f(x) = if a 3 and g(2) = / r(e)dt Determine the value…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 4. Consider the function: h(x) = = Evaluate the following: (a) h(-5) (b) h(-4) (c) h(-2) (d) h(-1)…

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Q: What values of a and b make the function f continuous everywhere? x² 4 a = f(x) = and b = - " X 2…

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Q: h(x) = (x – 3)² Determine for each r-value whether it is in the domain of h or not. In domain Not in…

A: Given,  hx = x-32  We have to find the  whether 0, 3 and 4 is in the domain of h or not.

Q: Consider the function f(x) the difference quotient = 7 x²+1/ 3 4 -X-2. Compute f(xo+h)-f(xo) h

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Q: 4x -5x-6 for x +2 Given f(x) 2-V2x 4 for x = 2 Is the function f continuous at x = 2 ? Give…

A: A function f(x) is continuous at x = a if limx→a+f(x)=limx→a-f(x)=limx→af(x).

Q: 2x-7 2. What is true about the function f(x) = as x→-1+? %| x+1 с. f(x) >со d. f(x)> -о0 a. f(x) →-…

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Q: Find the domain of the function f(x) 8 х—10 O R O R- {12} O R-{-10} O R- {10} O R-{14} Clear my…

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Q: - If x² - x f(x) g(x) = x and X - 1 is it true that f = g?

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Q: Which function(s) has (or have) opposite end behaviours? * f(x) = x² + 3x – 1 g(x) = x³ + x? + 3x –…

A: Given, fx = x2 +3x-1  gx = x3 +x2 +3x-1 hx = x4+x3+x2+3x-1   We have to find the functions which…

Q: If f (x) = , then f-1 (x) 3-2r 3-2г 4.-3 O 21-3 3-4 If f = {(1,2),(-2, 3) , (3,0) , (0, 1)}, then…

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Q: F(x)=6-2x, 1<x<5

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Q: -a -1 for f (x) = { x + 2 x 3 Find f(-2)

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Q: I do not know how to do this question or even what it's asking for.

A: Consider the given function,

Q: 1 may be viewed as a composite function h(x) = f(g(x)). Find f(x) and g(x). The function h(x) = (7x…

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Q: O 4. For the function f(x) = x² – 3, Find f - 1/3-x² Ox-3 x² X 012-3 O 1-3 X (1)

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Q: Determine the value of f(-3) for the function f(x) 00 O Undefined 3 B O 15 O x³ +18x²+104x + 192 for…

A: I am attaching image so that you understand each and every step.

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: 2x : 1 3 is not one to one True False

A: Given: The function f(x)=2x : 1≤x≤3x   :  x&gt;3

Q: & x +1 & f(g(x)) Let f(x) x. Then g(4) r-2 Select one NONE

A: Given: f(x) = (x+1) / (x-2)  f(g(x)) = x  Then find g(4)

Q: 11 – |x| X 2 a. f(0.5) = b. f(-5.5) = c. f(-3.5) = d. f(6) =

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Q: (f •f)(-4) = (g • g)(1) = (g o h)(0) = hox) g() 2 -1 01 2 3 4 T(X) 2.

A: The graph of the functions fx, gx and hx are To evaluate: f∘f-4, g∘g1 and g∘h0

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: x² – 4. the domain of f (x) = -is: 1s: x +3 0(-3,-2] (-2,2) (-3, -2|U12, 00) 12.3) U (3.0)

A: See the attachment

Q: Knowing that y (0) = 1 and y' (0)= 1, find a specific solution for: d²y +3-10y 0 dx? dx y = ÷e*. -…

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Q: 8. Suppose that the function f(x) is defined for all If f(x) f(x) = f(x + 25) for x E R, what is the…

A: The function fx is defined for all real numbers.  If f(x) = x for x∈-7,7 and fx = fx+25. Then, we…

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: Let two functions be f(x) = x2 - 4 and g(x) = (fo g)(x)? What is (fo g)(x) -4 %3D x2 +8x+16 (fo…

A: Given:fx=x2-4   and gx=1x+4f∘gx=?

Q: f The domain where f(x) = 2(x + 1)(x-2)(x+3) is positive is Select one: a. x > 0 b. x2

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Q: 9x + 99 x # -11 If the function defined by g(x) = x + 11 k x = -11 is continuous at x = –11, then…

A: Find the value of K

Q: Given that f(x) = 3x+2 and g(x) = 3 3x-3 O 3 X-1 O 3x X-1 +2 +2 +2 1 3x + 1 1 x-1 find f(g(x))…

A: Given query is to find the composit function.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.