Use the functions f(x) = 2x² a. (fog)(3) b. (hj)(12) c. (gᵒh)(x) d. (hᵒg)(x) e. (gᵒf)(x) to determine the value of each composite functions. g(x) = 3x-2 h(x) = 3-4x j(x) = 6/x

Q: =2500·0.985x represents the number of members of a website, where x is the number of months since…

A: In this question, fx represents the number of members of a website. fx=25000.985x The number of…

Q: evaluate 32x − 1 at x = 0. f(0) =

A: Given,    f(x)=32x-1 To find: f(0)

Q: Find the value f(0) for the function f(x)=9

A: Given; f(x)=9.

Q: Find the inverse of the function f (x)= \x-2.

A: To find the inverse of the function,  Let y=f(x) Therefore, x=f-1(y) Substitute y in place of f(x)…

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: A scientist observed that the speed S at which certain ants ran was a function of T, the ambient…

A:

Q: Evaluate f +3 /1+x4 3 dx.

A:

Q: Investigators at a traffic accident used the function  d(v) = 0.04v2 + 0.8v,  where v is the…

A: Given the function: dv=0.04v2+0.8v where v is the velocity of car in mph and d(v) is the stopping…

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

A:

Q: d) Find the inverse of the function f(x) = 3x - 5 %3D

A: Given y= 3x-5 To find inverse, lets swap x and y =>x=3y-5 Lets subject y now x+5=3y y=(x+5)/3…

Q: Find the value f(3) for the function f(x)=9

A:

Q: Which is larger, f(0) or g(0)?

A: By the above graph  g(0)=0.5  and  f(0)=2 See on the graph and easily we can find the value by…

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: Show that f(x) = (x16)2 has no inverse on the interval

A: Solution of the problem as follows