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

A: Given, f(x)=3x+5 if x<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: 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: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is