[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.72,0:00:04.97,Default,,0000,0000,0000,,We're asked to evaluate\Nnegative 2 times f of negative 6
Dialogue: 0,0:00:04.97,0:00:06.60,Default,,0000,0000,0000,,plus g of 1.
Dialogue: 0,0:00:06.60,0:00:08.46,Default,,0000,0000,0000,,And they've defined,\Nat least graphically,
Dialogue: 0,0:00:08.46,0:00:10.76,Default,,0000,0000,0000,,f of x and g of x here below.
Dialogue: 0,0:00:10.76,0:00:12.34,Default,,0000,0000,0000,,So let's see how we\Ncan evaluate this.
Dialogue: 0,0:00:12.34,0:00:14.27,Default,,0000,0000,0000,,Well, to do this, we\Nfirst have to figure out
Dialogue: 0,0:00:14.27,0:00:16.54,Default,,0000,0000,0000,,what f of negative 6 is.
Dialogue: 0,0:00:16.54,0:00:19.76,Default,,0000,0000,0000,,So our input into our\Nfunction is negative 6.
Dialogue: 0,0:00:19.76,0:00:22.42,Default,,0000,0000,0000,,And we'll assume that's\Nalong the horizontal axis.
Dialogue: 0,0:00:22.42,0:00:24.11,Default,,0000,0000,0000,,So our input is negative 6.
Dialogue: 0,0:00:24.11,0:00:28.69,Default,,0000,0000,0000,,And based on our function\Ndefinition, f of negative 6
Dialogue: 0,0:00:28.69,0:00:30.01,Default,,0000,0000,0000,,is 7.
Dialogue: 0,0:00:30.01,0:00:30.89,Default,,0000,0000,0000,,So this thing.
Dialogue: 0,0:00:30.89,0:00:35.69,Default,,0000,0000,0000,,Let me write this down. f\Nof negative 6 is equal to 7.
Dialogue: 0,0:00:35.69,0:00:36.97,Default,,0000,0000,0000,,And what is g of 1?
Dialogue: 0,0:00:39.91,0:00:42.89,Default,,0000,0000,0000,,Well, once again,\Nhere's our input axis.
Dialogue: 0,0:00:42.89,0:00:45.41,Default,,0000,0000,0000,,And then the function\Nsays that g of 1,
Dialogue: 0,0:00:45.41,0:00:48.66,Default,,0000,0000,0000,,which is right over\Nthere, is negative 5.
Dialogue: 0,0:00:48.66,0:00:51.92,Default,,0000,0000,0000,,g of 1 is equal to negative 5.
Dialogue: 0,0:00:51.92,0:00:57.24,Default,,0000,0000,0000,,So this statement simplifies\Nto negative 2 times
Dialogue: 0,0:00:57.24,0:00:59.70,Default,,0000,0000,0000,,f of negative 6, which is 7.
Dialogue: 0,0:00:59.70,0:01:07.26,Default,,0000,0000,0000,,So times 7 plus g of\N1, which is negative 5.
Dialogue: 0,0:01:07.26,0:01:12.58,Default,,0000,0000,0000,,So plus negative 5, which\Nsimplifies to-- let's see.
Dialogue: 0,0:01:12.58,0:01:17.90,Default,,0000,0000,0000,,Negative 2 times 7 is\Nnegative 14 plus negative 5,
Dialogue: 0,0:01:17.90,0:01:20.20,Default,,0000,0000,0000,,which is negative 19.
Dialogue: 0,0:01:20.20,0:01:22.66,Default,,0000,0000,0000,,And we are done.