Evaluate the function h(x) = x +2x +6 at the given values of the independent variable and simplify. a. h(1) b. h(- 1) c. h(-x) d. h(3a) a. h(1)= (Simplify your answer.) b. h(-1) = (Simplify your answer.) c. h(-x)= (Simplify your answer.) d. h(3a) = (Simplify your answer.)

Q: Rewrite the function f (x) =-2(x+4)+20 In the formf(x)=ax+bx+c.

A: Given function is : f(x) = -2 (x+4)2 + 20

Q: Suppose f is a linear function such that f(3) = 3 and f(7) = -4. Find the equation for f. (Use x as…

A:

Q: f(x) = - 3x(x - 2)(x-2)

A: Given function is fx=-3xx-2x-2.

Q: 3. Consider the function (x) = 5(x - 4) + 9. Determine A26).[ 3A]

A: Determine   f(2b) f(x) = 5(x - 4) + 9 f(2b) = 5(2b - 4) +9

Q: Evaluate the function. flæ) = -a² + 5æ - 2 x²+5x- 2 Find f(-4)

A: We have to evaluate the function  f(x) = - x2 + 5x - 2 We have to find f(- 4) Put ,  x = - 4 in f(x)…

Q: Find the domain for the function. X-3 V3x-2 a) (-0, 00) b) (- ∞, 3) U (3, 0)

A:

Q: Solve the equation 7x2y + 8y = 2x for y as a function of x. Express your answer in calculator syntax…

A: Topic - functions

Q: Find the linear function with the following properties. f(-6) = – 11 f(-2) = 1 Answer f(x) =

A:

Q: Please show step-by-step solution.

A: Given:

Q: 4x² + y² Consider the function f(x, y) : 2

A: Consider the function fx, y=4x2+y22. i) Draw a cantour map of f for k=0, 1, 2, 3. ii) Using the part…

Q: Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in…

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Q: Decide whether the equation defines y as a function of x. x + + y6, = 5 Yes, y is a function of x…

A: y is a function of x since there is only one value of y for each x .

Q: 6. Use the table to write a linear function that relates y to x. -1 2 y 3 -3 Sub

A:

Q: Find the x- and y-intercepts for the function. x2 + 4x + 3 x2 + 11x + 28 f(x) x-intercept (x, y)…

A: Consider the function, fx=x2+4x+3x2+11x+28

Q: Choose the definition for the function. -2x + 1 a.y=-x+ 2 (-2x + 1 b.y = {2 -x+ 2 x ≤1 x> 1 x 1 x ≤…

A: The given graph is as, This graph is the piecewise continuous graph. To find: the function of the…

Q: f (x) = -2x, g(x) = |x+ 2], (-5) = ?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: tunction. a) b) 6- 4- y = f(x) -6 -4 -2 4 6 -2- -4- 2.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A specific car’s fuel economy in miles per gallon can be  approximated by  f(x) = 0.00000056x4 –…

A: sol : The direct substitution can be used to determine the fuel     economy when the car is…

Q: x+2 Find the domain for the function. V2x-1 a) (- ∞, 00) b) (- ∞, – 2) U (- 2, 00) c)

A: Domain is the values of x for which the function is defined.

Q: The number of residues of the function f(2)= (2+1)(2²+4) are

A: Number of residue is to find the number of zero's of the denominator of the rational function after…

Q: Which function is equivalent tof(x) = -4(x+ 7)² – 6? %3D F.f (x) = -4x2 - 56x - 202 G.f (x) = -4x2 +…

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Q: Suppose f is a linear function such that f(3) = 5 and f(9) = -4. Find the equation for f. (Use x as…

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Q: The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) =…

A: Amount of candy sold year per type=C(x)/T(x)

Q: The x-intercept of the linear function f(x) 10x + 18 is

A:

Q: Evaluate the function. 2 f(x) = –x² – 3x + 15 Find f(-8)

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Q: f (x) = x2 - x - 2; [-4, 5] [-4, 10]

A: The function is the unique relationship where each x is mapped to a unique y. It can be of any type,…

Q: Find domain of the function f (x)3Dvx-9 (a) R (b) R-(9}. (c) [9,00) (d) (9,00)

A: The given function, f(x)=x-9

Q: The input value for a function is 20. That is the output for y=-1/2x-5

A:

Q: Use f(x) = x²-x, g(x) = 9– 2x, and h(x) = x² + 2r-63 Find (g f)(x)

A: Given: f(x)=x2-xg(x)=9-2xh(x)=x2+2x-63 The objective is to find leading coefficient of the function…

Q: Evaluate the function g(x) = 3x2 - 5x + 2 at the given values of the independent variable and…

A:

Q: Determine whether the function y = -3x2is increasing or decreasinga. For x < 0. b. For x > 0.

A: Given, y=-3x2Differentiating both sides w.r.t x we get:dydx=ddx(-3x2)⇒dydx=-6x…

Q: The function y = x5 – 5x3 + 7 is symmetric about the origin.       True   False

A: Odd functions are symmetrical about the origin. If f(-x)=-f(x) , then the function is an odd…

Q: Find the domain of the function. f(x, y) = x² + y? – 7

A:

Q: The x-intercept of the linear function f(x) = 9x + 18 is O -1.09 - 10.26 O 6.62 O 3.60 O -2.00

A: Given a linear function, fx=9x+18

Q: identify the end behavior for the function y = x^3 - 3x^2 - 4x +12

A:

Q: whether y is a function of x. y2 =6x

A:

Q: 2. State the domain of the function. x² -3x +2 a. y=- x-4

A: The objective of the question is evaluate the domain of the given function.

Q: Given that 2x ax + 4 C then find the solution x and enter your answer as a function of a, b, c in…

A: Using cross multiplication.

Q: Evaluate the function at the given value of the variable. f(x) = 3x2 - 3 a. f(2) b. f(- 4) a. f(2)…

A:

Q: Evaluate the function. x - 6y x2 + y2° 1) Find g(3, 4) when g(x, y) B) - 25 A) - 21 21 C) - D) - 5…

A: The given question can be solved as below using the application of function as below

Q: The linear function f with values f(-3) = 10 and f(4) = 7 is f(x) =

A: We can find the linear function as below.

Q: 2x² +5x – 3 - Consider the function y x2 - 9

A: We have to find

Q: Determine whether the equation x2 + y2 = 16 defines y as a function of x.

A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

Q: f(x) = 5 x² − 5 x, -

A:

Q: gien the function  h(x)= 3x-4          find h-2 (x)                                        5x+2

A: Given the function h(x)

Q: Find f(-2) for the function f(x) = 3x2 – 2x + 7. 2 -13 B -1 1 23

A:

Q: Q2: Define whether y represent as a function of x a) -5x? + y = 12 b) -2x + y? = 3

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.