If f (x) = −x + 8 for x ≤0 and f (x) = 4x + 7 for x > 0, find (a) limx→0+ f (x) (b) limx→0− f (x)

Q: Find f -1(x) if f(x) = 7x - 1.

A: Given: y=fx=7x-1 for finding inverse of given function we have to find x in terms of y

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

A:

Q: Differentiate f (x)  = 10e(-x - 2)/5

A: Given,           fx=10e-x-25

Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

A:

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

A:

Q: Let ​f(x)=−4x+6. find f(-x)

A:

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

A:

Q: where is the function (5+x) / (x(x-2)) discontinuous?

A:

Q: Find y (x +5x)*(x + sec x)5

A: Differentation by two products

Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: If f(x) = x² + 8x, find f(d). %3D f(d) = ||

A: F(x) represents  function varies with x

Q: f (x) = x + 4 and h (x) = 4x − 1, find a long function that g◦f = h.

A:

Q: Find p(- 2) and p(3) for function p(x) = x ^ 3 - x ^ 5

A: We have given function as  p(x)=x3-x5   We have to find p(-2) And p(3)