Evaluate (f(x+h) - f(x))/h, given f(x) = 5/(x+2). Use a / to represent a fraction line. Do not include any extra spacing between characters. Ex 1/sqrt(x+y) should be written as 1/[sqrt(x+y)].

Q: Use adding/subtracting functions to explain why the function, w(x)=x^4 + 2x^2 - 5x  would only have…

A: Use adding/subtracting functions to explain why the function, w(x)=x4 + 2x2 - 5x would only have one…

Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on x.

Q: Differentiate and simplify

A: The derivative of ln x is 1x.

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

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Q: Use the discriminant to determine the number of roots. Y=3x^2+4x+4/3

A: To determine the nature of the roots of the quadratic equation of the form fx=ax2+bx+c, compute the…

Q: Simplify. if P(x) =4x^2- 4x, find P(-2).

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Q: Is x^2 +x^5 an add function. Yes or no,?

A: I think there's a spelling mistake as you have written an add function which I think should be odd…

Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

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Q: Scotty McTiger hits a golf ball with an initial speed of 280 feet per second. The heights of the…

A: Given query is to find the time when ball hit the ground.

Q: Help me differentiate and simplify 1a-1d

A: Here we have to find the derivative.

Q: Find the derivative 5x' +9x + -7x+2

A: Find the derivative, 5x3+9x2+7x+2...(1)

Q: Graph the function f(x)=-(x+1)^(4)+1. Determine any roots of the polynomial.

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Q: Write f(x)= x4+6x2-27 as the product of linear factors and lists all the zeros of function. please…

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Q: √x((x^2)-2x). What is the derivate a

A: Here we find the first and second derivatives of given function.

Q: A person standing on a bridge over a river throws a stone such that the height H (in feet) above the…

A: We can find out the solution by following method.

Q: Billy is on the roof of a building and drops a tennis ball off the side. The ball follows a path…

A: Here we have to find out how far away from the building the ball landed, we need to determine the…

Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: Explain what a point of inflection is and explain how you would find it/them for the following…

A: Given equation:- y=x4+6x2-11x+25 Point of inflection exist when d2ydx2=0 and concavity of function…

Q: 1. Given the function f(x) = 2x3 + 19x² + 34x + 15 Show all work. Use synthetic OR long division to…

A: Given fx=2x3+19x2+34x+15and we have to check 2x+3 is a factor and then write fx in factor form

Q: Given H(a)=a4-3a^2-a+1, the domain is

A: The domain of a function is the set of all values of the variable for which the function is define.…

Q: R(x) = 7/x^2-16 If needed, write this given function as a single rational expression. Aftrr, factor…

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Q: state the number of roots for the function f(x)= x^7+65x^4+64x

A: Given: The function is f(x)=x7+65x4+64x. Concept used: The highest power of the polynomial is the…

Q: Convert to standard form, f(x) =2(x+2)^2+10

A: The Standard form of a quadratic function presents the function in the form f(x)=ax2+bx+c ; where "…