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: -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: 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: F(1) = 6 and F(n)=3x F(n-1)nz2.

A:

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: (x+1)/(x-1) + 2 &gt; 0

A: We need to find the interval of x for which the given inequality holds good.

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: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

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

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

Q: find the following.    k(1)     k(−0.004)

A:

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: (1/x − 5) + (1/x + 2) = 9/8

A: Given problems is

Q: For what values of k will the function g(x)=x2-kx+9 have only one zero

A: compare this polynomial with the standard form of a polynomial function    so here we have

Q: (3/5 +1/5)x(2/4-1/4)=N

A: We want to find the value of N

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

A:

Q: Let g(x)=x2+6x        and f(x)=4x       Find each of the following.      a)  g(−1)      b)…

A:

Q: Find   g−1 ∘ f −1

A:

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

A: Given  f(x) =x3+3x+17

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

A:

Q: 1b. please express in the notation p(x)=d(x)q(x)+r(x)

A: Given that,   Where p(x) denotes a polynomial and d(x) denotes a divisor.   Q(x) is quotients and…

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: For f(x)=4xand g(x)=x+5 find the following. a.(f◦g)(x)                            b.(g◦f)(x)…

A:

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: If f(x) = f(-3) = f(0) = f(2)= 2x-1 x²+3 for x ≤0 for x>0 " evaluate the following.

A:

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: 12x iet f (x) = 2x-17 for x 10 a. Find f(4)=_ b. Find f(24)=.

A: The probability density function is fx=12x-17 , for x&lt;106x+2 , for x≥10.

Q: Let f(x) = x - 6 and g(x) = 7x. Find (f+ g)(1). (f+ g)(1)= (Simplify your answer. Type an integer or…

A: As per the question we can solve it as per the rules of function