Decompose the following function into two new functions, u and v, where v is the inside function, u(x) # x, and v(x) # x. k(x) = e³sin x + 3sin x Select all correct pairs of functions. O k(x) = u(v(x)) where v(x) = sin x and u(x) = e* + 3x. O k(x) = u(v(x)) where v(x) = sin x and u(x) = e³* + 3x. O k(x) = u(v(x)) where v(x) = 3sin x and u(x) = e* + 3.x. O k(x) = u(v(x)) where v(x) = 3sin x and u(x) = e* + x. k(x) = u(v(x)) where v(x) = 6sin xand u(x) = e +.

Q: 6х + 11 The inverse function of f(x) = is ƒ-1(x) = %3D 9х + 10 о 11-10х 6+ 9x 11- 10х 9х — 6 о-11…

A: We find inverse of given function is

Q: Let f(x) be the function f(x) 1. Find the following: x + 1 f(11) = f( – 10) | (4) 2 (-) f |

A: Given function is fx=xx+1-1. Put x=11 in the function. f11=1111+1-1=1112-1=-112 Therefore, f11=-112.

Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: Differentiate the function.   f(x)  = x In x -x

A: Given, fx=x ln x-x

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Use the formula to express h as a function of x if h = 3y-2/4y and y= x-4

A:

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: Differentiate the function.

A: Given function -f(u) = lnu1+ln(2u)Differentiating with respect to u - f'(u) = ddulnu1+ln2uf'(u) =…