Find (f∘g)(4) for the following functions. Round your answer to two decimal places, if necessary. f(x)=√x+1 and g(x)=3+√x

Step-by-step explanation:

Given  f(x)=√x+1 and g(x)=3+√x, to calculate for  (f∘g)(4), first we need to get the function  (f∘g)(x).

(f∘g)(x). = f{g(x)}

since g(x) =3+√x, then;

f{g(x)} = f(3+√x)

If f(x) = √x+1

f(3+√x) can be gotten by simply replacing x with 3+√x in f(x)

f(3+√x) = √(3+√x)+1

f{g(x)} = √(3+√x)+1

f{g(4)} can be gotten by substituting x = 4 into the resulting function above.

f{g(4)} = √(3+√4)+1

f{g(4)} = √(3+2)+1

f{g(4)} = √5+1

f{g(4)} = √6

f{g(4)}  = 2.449 ≈ 2.45 to two decimal places.

Hence,  (f∘g)(4) for the functions to two decimal places is 2.45

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

35 is an outlier

step-by-step explanation: