If k(x) = 1 if x < 0 x + 2 if 0 ≤ x < 1 1 − x if x ≥ 1 , find the following. (a) k(−5) (b) k(0) (c) k(1) (d) k(−0.006)

Q: |x + 7| X < -7 X + 7.

A:

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x&lt;-10…

Q: Let f(x) = x² + 5.5x + 722 . Which of the following is equal to f(x + h) – f(x)? %3D O x² + h? + 2xh…

A: Given that f(x) = x2 + 5.5x + 722. We have to find the value of f(x + h) - f(x).

Q: (e) x² - 4x+4 <0

A:

Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

A:

Q: Which of the following is correct for F (۲) ce (1) 0 s+) cety (1) - (۱)

A: We have to find the correct choice.

Q: If h ( x ) = 3 x 2 − 2 x, then find h (5).

A: Let there is a function fx to find the value fa we need to substitute x=a in the expression.…

Q: If f(n + 1) = f (n) + 5 and f (1) = 100, what is f(4)?

A:

Q: ) For t(1) For the function f(x) =x + 1/2+3 , evaluate and simplify the following: (a) f(−1) (b)…

A: The given function f(x) = x + ½+ 3   now, solve the following equation:

Q: 1 If h(x) = 5 + x and k(x) = which expression is equivalent to (k h)(x)?

A: Given : h(x)=5+x   and k(x)=1x we have to find (k∘h)(x)

Q: Given the function r(x) r(9) = Calculate the following values: r( − 7) = r(6) = = r( − 3) = r( – 5)…

A: Solve the remaining three

Q: Find g o f if f(x)= 1/x+3  and  g(x)= -2/x and state the domain: I set this problem up as follows:…

A:

Q: d The constant term of (x¹ - 3)º e The last term of 2 G- 3

A: It is related to binomial expansion : 1: the constant term of (x⁴ - 3)⁹ 2: the last term of ( -2x² -…

Q: 1. g(x) (x - 4)2/2

A: Find g’(x) and equate to 0 to find the critical point.

Q: Give the domain of s(x)=x2+2x√16−5xs(x)=x2+2x16-5x in interval notation

A: Given the functions(x)=x2+2x16−5x

Q: = 21a and g (x) 4, then (gc 21 4.00

A: We have to choose the correct answer from the given option according to the given condition

Q: Given f (x) = k(x – 1)2 + 1, find a simplified expression for k, in respect to a, if f-1(16a*) =…

A: Topic = Function Finding the Inverse of a Function:- First, replace f(x) with y. Replace every x…

Q: 0007 (d) 5 X = (e) 5 X 36 nlox 6 X = (f) 5 12 || X 24 = X 48

A:

Q: x - 6 for x 0 Find f(0)

A: Since, from the given conditions, we have following values of function f(x):-When value of x is less…

Q: If g(x) =    0.5x + 2       if x 4 find the following. (a)    g(−2) (b)    g(0) (c)    g(7)…

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Q: |x−2/2−1/2|<1

A:

Q: 43x - Let h(x) x + 8 Evaluate h(6): h(6) = Determine x when h(x) = 8

A:

Q: Given f''(x) = 9x – 5 and f'(– 3) 5 and f( – 3) = 4. %3D a? - 5æ - 121 Find f'(x) 2 and find f(3)

A:

Q: 1. Write the following in the form f(x) = Ba". - (;) (*) 20 (a) f(x) = (b) f(x) = 5(3")(9ª) (c) f(x)…

A:

Q: If VAR(X) = 8, E(X)= 3, then E(X – 2)² = None

A: Provided information is,  VAR(X) = 8, E(X) = 3 From given information,…

Q: Evaluate the difference quotient for 7x+1. Az) - f(x) = 2 7/2 7 O 1/2 O O

A: Here we have to find the quotient difference of a function.

Q: If f(x) = 3x² − x + 8 and h = 0, find the following and simplify. (a) f(x + h) (b) f(x+h)-f(x) h 11…

A: The given equation is f(x)=3x2−x+8,h≠0.We have to find and solve the expressionsf(x+h)f(x+h)−f(x)h

Q: What is the smallest integer a where f(x)=2x is always greater than g(x)=x2 for all x>a?

A: Given  : f(x) = 2x is always greater than g(x)=x2 for all x &gt; a  Implise that :  2x &gt; x2