Mathematics: There are 3 times as many females as males on the maths course at university. What fraction of the course are male? Give your answer in its simplest form.

There are 3 times as many females as males on the

Cleotilde14151

11.09.2020

Answer and explanation:

Given : $f(x)=y=\frac{3x}{8+x}$

To find : Arrange the equations in the correct sequence to find the inverse of f(x) ?

Solution :

Writing step by step to find inverse,

Step 1 - Interchange y with x,

$x=\frac{3y}{8+y}$

Step 2 - Cross multiply,

x(8+y)=3y

Step 3 - Apply distributive property,

8x+xy=3y

Step 4 - Take y term one side,

8x=3y-xy

Step - 5 Take y common,

8x=y(3-x)

Step 6 - Take x term together,

$y=\frac{8x}{3-x}$

or $y=f^{-1}(x)=\frac{8x}{3-x}$

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