Question

H(x)= 12/2x+16

find h(-8)​

Answer 1

`(61)/(4)`

Explanation:

Greetings !

Given expression( function )

`h(x) = (12)/(2x) + 16`

Thus, plug in -8 in the variable x and solve as follows:-

`h( - 8) = (12)/(2( - 8)) + 16`

Multiply the numbers 2.(-8) = -16

`= (12)/( - 16)`

Apply the fraction rule

`(a)/( - b) = - (a)/(b)`

`= - (12)/(16)`

`= - ( 12)/(16) + 16`

cancle

`(12)/(16) = (3)/(4)`

Factor the number: 12 = 4.3

`= (4.3)/(16)`

Factor the number 16 = 4.4

`= (4.3)/(4.4)`

cancel the common factor =4

`= (3)/(4)`

Thus,

`= ( - 3)/(4) + 16`

Convert 16 to fraction :

Apply the fraction rule

`a = (ab)/(b)`

`= (16.4)/(4)`

Multiply the numbers 16.4=64

`= (64)/(4)`

`= - (3)/(4) + (64)/(4)`

Apply the fraction rule

`(a)/(c) + (b)/(c) = (a + b)/(c)`

`= ( - 3 + 64)/(4)`

Add the numbers -3+64 ==61

`= (61)/(4)`

Hope it helps !!