+0  
 
+1
189
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avatar+374 

https://vle.mathswatch.co.uk/images/questions/question17183.png

 

smileysmileysmiley

qualitystreet  May 19, 2018
 #1
avatar+971 
+1

a) 

 

As the rule states, we first add 4, then multiply the sum by 2. 

 

The first imput gives us 6, we follow the fuction's rules:

 

6 + 4 = 10, 10 * 2 = 20 

 

The output, or y, is 20. 

 

The second part, gives us the output. We can just reverse it. 

 

What times 2 is 13? 13/2 = 6.5.

 

What plus 4 is 6.5? 6.5 - 4 = 2.5.

 

The imput is 2.5. 

 

The first blank is 20. 

 

The second blank is 2.5. 

 

I hope this helped,

 

Gavin

GYanggg  May 19, 2018
 #2
avatar+971 
+1

b) 

 

In mathematics, an inverse function (or anti-function) is a functionthat "reverses" another function.

 

The function the problem gives us is basically: y = x/5 + 1

 

To inverse it, we write it in the form, x = ...

 

First we subtract 1 from both sides, to get y - 1 = x/5

 

Then we multiply both sides by 5, we get: 5y - 5 = x 

 

It becomes, x = 5y - 5, or x = 5(y-1) 

 

So the function is subtract one, then multiply the difference by 5. 

 

I hope this helped,

 

Gavin

GYanggg  May 19, 2018

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