Find the LCD (least common denominator)
15 in this case
Convert to have 15 as denominators

1/3 = 5/15
2/5 = 6/15

Subtract

(6/15) - (5/15)
1/15

He had 1/15 less

7 0

3 years ago

The function F is defined by F(x)= 12/x + 1/2 . Use this formula to find the following values of the function.

IgorLugansk [536]

Answer:

$F(3)=\frac{9}{2} \\F(-12)=\frac{-1}{2} \\F(\frac{1}{3} )=\frac{73}{2} \\F(\frac{3}{4} )=\frac{33}{2}$

Step-by-step explanation:

Given: $F(x)= \frac{12}{x} + \frac{1}{2}$

To find: Values of the function F(3) , F(−12) , $F(\frac{1}{3})$ , $F(\frac{3}{4})$

Solution:

A function is a relation in which each and every element of the domain has a unique image in the co-domain.

To find the values of the functions $F(3),F(-12),F(\frac{1}{3} ),F(\frac{3}{4} )$ , put $x=3, -12, \frac{1}{3},\frac{3}{4}$ in the given function $F(x)= \frac{12}{x} + \frac{1}{2}$

$F(x)= \frac{12}{x} + \frac{1}{2}\\F(3)= \frac{12}{3} + \frac{1}{2}\\=4 + \frac{1}{2}\\=\frac{9}{2}$

$F(x)= \frac{12}{x} + \frac{1}{2}\\F(-12)= \frac{12}{-12} + \frac{1}{2}\\=-1+\frac{1}{2}\\ =\frac{-1}{2}$

$F(x)= \frac{12}{x} + \frac{1}{2}\\\\F(\frac{1}{3} )= \frac{12}{\frac{1}{3}} + \frac{1}{2}\\=36+\frac{1}{2}\\ =\frac{73}{2}$

$F(x)= \frac{12}{x} + \frac{1}{2}\\\\\\F(\frac{3}{4} )= \frac{12}{\frac{3}{4}} + \frac{1}{2}\\\\=16+\frac{1}{2}\\ \\=\frac{33}{2}$

8 0

3 years ago

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