Find the Domain of fif f(x) = 2(x – 7)2 Domain: > 0 O Domain: y >0 Domain: x is all real numbers O Domain: y is all real numbers

Q: x2 + 4x – 21 Let f(x) Write the domain of f as an interval. 2

A: see 2nd step.

Q: - For the functions f(x) = x + 2 and g(x) = x - 3, which expression has the greatest value? a)…

A: We have given:Find the composite function :Find the composite function :

Q: Let a, b, c and d be distinct real numbers. Show that the equation (x – b) (x – c)(x - d) + (x –…

A: Rolle's theorem:-

Q: Let f(x) = x³ – 6x ln x + 6x + 1000. Find all x-coordinates of the inflection points. O x = -1 and x…

A:

Q: 2 5 Let f (x) and g(x) = x+2° X-3

A:

Q: Find the Domain of 1, if f(=) 0(s-6) %3D O Domain: y is all real numbers O Domain: y N0 O Domain: NO…

A: Given f(x)=6(x-6)2 To find f-1, assume y=f(x) then swap variables to find f-1

Q: Let a, b, and c represent positive real numbers, where a 0. c. Solve f(x) < 0.

A: Answer(a):

Q: 9

A: We will find the difference coefficient.

Q: Find a → evaluation for the function (4n+1) 8¹ogn

A: Solution: f(n) = (4n + 1)8log n        = (4n + 1) (23)log n              [here , we assume base of…

Q: Find the Domain of f-1, if f(x) = 2(x – 7)² Domain: y is all real numbers Domain: x > 0 Domain: y >…

A: The range of a function f(x) is the domain of the inverse function f-1(x). The domain of f(x) is the…

Q: Determine the domain of a) ({x|x-1xR}) x-4 2x+2 f(x)=; ({x/x = −1,x = R}) c) ({x|x*1,xER}) Od) {x/x…

A: