Question

How do i do this question help me please

Answer 1

6

2(x - 5)

0

Explanation:

f(x) = x/2 + 5

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

= 6

b)
`f^(-1) (x)`

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
`f^(-1) (x)`

so
`f^(-1)(x) =` 2(x - 5)

c)
`f^(-1) (5)` = 2 (5 - 5)

= 0

Answer 2

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

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