How do you find h(-1) given h(n)=4/3n+8/5?

2 Answers
Mar 20, 2017

h(-1)= 4/15

Explanation:

Steps:
Lets first begin by finding the LCD of the two fractions so we can add them.

The LCD is 15 so we must manipulate each fraction individually so that its denominator is 15

Lets start with 4/3 n:
To make the denominator 15 we must multiply both the numerator and denominator by 5, thus:

5/5*4/3 n = 20/15 n

Similarly, we must multiply both the numerator and denominator by 3 for 8/5

3/3*8/5=24/15

So now we have
h(n)= 20/15 n+24/15

So...
h(-1)= 20/15 (-1)+24/15

h(-1)= -20/15+24/15
h(-1)= 4/15

Mar 20, 2017

h(-1)=4/15

Explanation:

Since it's h(-1) plug in -1 for n.

h(-1)=4/3(-1)+8/5

=-4/3+8/5

=-20/15+24/15

=4/15

ANSWER: 4/15