True or false: limx→+0+ f(x) = -2₁f f(x)= 2-X², XLO 2x-2, x10

Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

Q: lim V2 XH

A: function is well defined , for calculating limit directly put the value of x and we will get the…

Q: Vx2+3 lim X-

A: limx→∞x2+3x=limx→∞x2(1+3x2)x=limx→∞x(1+3x2)x                         =limx→∞ (1+3x2)     =1

Q: →0 (2a−3/2a+ 5)^(2a+1) should i use lhopital or direct substitute the value of

A:

Q: Зx2-14х +8 lim 7x-28 x+4

A: By factoring method: Take factors in numerator and denominator  Limx-4(3x2-14x+8)/(7x-28)         =…

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: Differentiate ибілен product pale

A:

Q: Find x- and y-intercepts for f(x)=(x+2)2(x-1)

A: Topic- function

Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

A:

Q: f(x) = −x^2 + 8x − 16. Consider the Parabola (a) Does the function point up or down? (b) What is…

A: f(x)=-x2+8x-16y=-(x2-8x+16)y=-(x-4)2 a. parabola is down to the axisb.symmetric to x-axisat x=4

Q: State the domain of f(x) =- x+3 O (e> 3} {x\x 2 3}

A:

Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: sec x)^2 - 1

A:

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: limx→1 10x−9x−10(x2−1)

A: Given,             limx→110x-9x-10x2-1

Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: Vx²+1 +5x lim 2x+3 X→ -0 -1 3 1 2 1 2

A:

Q: (2x + 4) sec2(x2 + 4x)

A: ∫(2x+4)sec2(x2+4x)dx Formula ∫sec2x dx=tan(x)+C

Q: Find the slope of f(x)=2(2x+3) O at (-1,0)

A: Introduction: When given an equation that is not a line, first find the derivative of the curve.…

Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

A:

Q: Vx2 + a? lim Væ2 + 62 Væ2 + c2 Væ2 + d?

A:

Q: Let f(x) = x^2/√x−10 + 1/2x−30. Find the domain of f

A:

Q: Jx²+2 Lim X-7 3x -6

A: