Example: Given m(x) = x + 3 , n(x) = x² – 9 , and p(x) = Vx + 1 %3D - Find (n-m) (x) and write the domain of n – m in interval notation

Q: Domain of:  Csc(x)+2

A:

Q: =x2+10x+24 Express the quadtractic function in standard form

A: First  make perfect square and then put constant

Q: R(x) (x – 1) (x + 2)

A: Now, to draw the graph of the function Rx=xx-1x+2, the asymptotes have to be first calculated.…

Q: Write p(x)p(x) in telescoping form if p(x)=x5+3x4−15x3+x−10.

A: Given function is px=x5+3x4-15x3+x-10

Q: Let f(x) = x³-212-9. If f(3) = 0, then (x-3) is a factor of f(x). O True O False

A: factor theorem states that if f(x) be a polynomial of degree n , and (x-a) is a factor of f(x) then…

Q: (x+1)/(x-1) + 2 > 0

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

Q: (а) 3х < 5х—8 |

A: Topic:- inequality

Q: Write the the function f(x) = x² – 2x + 6 in the form f(x) = a(x – p)² + q by completing the square:…

A: Given function f(x)=x2-2x+6. The objective is to write the function in the form f(x)=a(x-p)2+q by…

Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

A:

Q: x²-4 Find domain of and Vx2 – 3

A: Here, the given functions are  x2-4x and x2-3 We need find the domain of the given functions.

Q: Vx+4 -2 1 limx¬0 ||

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: f(x) = [ 3x + 5 if x &lt; 0 and 4x + 7 if x ≤ 0]  Find : a. f(-2)           b. f(0)           c.…

A: Given, f(x)=3x+5 if x&lt;04x+7 if x≥0 To find  a. f(-2) b. f(0) c. f(3)

Q: Find (fo g)(x). X + 2 X + 6 g(x) : F(x) = %3D (fo g)(x) = Find the domain of (flo g)(x) (Enter your…

A: use the property of composite function

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 7 - 8x + 4x² f(a):…

A:

Q: Find the zeros ofp (x) =x² + 5x + 6

A:

Q: Let f(x) = 2x – 5 and g(x) = x² – 7x + 2. Then (f o g)(x) = (go f)(x)

A:

Q: n which interval does the polynomial function f ( x ) = x 3 − x 2 − 31 have a zero?

A:

Q: Exercise: min(x1 – 3)² + (x2 – 2)² X1 – x2 < 0 St{x1 + x2 < 6 X1, X2 2 0

A: Let's find.

Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is