Respuesta :

altavistard

Answer:

6, y = 2(x - 5), 0

Step-by-step explanation:

a)  To find f(2), substitute 2 for x:  f(2) = 2/2 + 5 = 6

b) Let's find the inverse function of f(x).  1) replace f(x) with y:  y = x/2 + 5

   2) interchange x and y:  x = y/2 + 5

   3) Solve this result for y:  y/2 = x - 5, or y = 2(x - 5)   This is the inverse of f

(c) the inverse of f at x = 5 is y = 2(5 - 5) = 0

maniknandini

Answer:

6

2(x - 5)

0

Step-by-step explanation:

f(x) = x/2 + 5

a) f(2) = 2/2 + 5

= 6

b) [tex]f^{-1} (x)[/tex]

we will replace f(x) with y

y = x/2 + 5

now we replace x with y and y with x

x = y/2 + 5

x - 5 = y/2

2(x - 5) = y

now replace y with [tex]f^{-1} (x)[/tex]

so [tex]f^{-1}(x) =[/tex] 2(x - 5)

c) [tex]f^{-1} (5)[/tex] = 2 (5 - 5)

= 0

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