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3 years ago

Find (g o f)(-1). *

Mathematics

1 answer:

klio [65]3 years ago

6 0

Answer:

D -9

Step-by-step explanation:

(g o f)(-1) = g(f(-1))

f(-1) = $f(-1) = (-1)^{2} + 2(-1) - 3\\= 1 - 2 - 3\\= -4$

g(-4) = -4 - 5 = -9

So, (g o f)(-1) = -9

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3 years ago

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Answer:

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3 years ago

What is the volume of a rectangular prism that is 8 m long, 7 m wide, and 5 m tall?

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2 years ago

(1 point) consider the function f(t)=⎧⎩⎨⎪⎪⎪⎪0,−5,−6,6,t<00≤t<11≤t<7t≥7;f(t)={0,t<0−5,0≤t<1−6,1≤t<76,t≥7; 1. wr

sergij07 [2.7K]

$f(t)=\begin{cases}0&\text{for }t$

Recall that

$u(t)=\begin{cases}0&\text{for }t$

Take it one piece at a time. For $t\ge0$ , we can scale $u(t)$ by -5:

$-5u(t)=\begin{cases}0&\text{for }t$

If we shift the argument by 1 and scale by -5, we have

$-5u(t-1)=\begin{cases}0&\text{for }t$

so if we subtract this from $-5u(t)$ , we'll end up with

$-5u(t)+5u(t-1)=\begin{cases}0&\text{for }t$

For the next piece, we can add another scaled and shifted step like

$-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

so that

$-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

For the last piece, we add one more term:

$6u(t-7)=\begin{cases}0&\text{for }t$

and so putting everything together, we get $f(t)$ :

$f(t)\equiv-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)+6u(t-7)$
$f(t)\equiv-5u(t)-u(t-1)+12u(t-7)$

5 0

3 years ago

How would i calculate 1.9 minus 11/12?

Genrish500 [490]

Step 1) turn 1.9 into an improper fraction.

= 19/10

step 2) find a least common denominator between 10 and 12.

= 60
(10x6 and 12x5)

step 3) convert the fractions so they have the same denominator.

= 19x6 is 114.
10x6= 60.
= 11x5 is 55.
12x5 is 60.
now you have your new fractions.

step 4) subtract.

= 114/60 - 55/60 is 59/60.

step 5) simplify.

the answer is either 0.9833... (3 repeating) or just 59/60 (you can't simplify the fraction any further).

8 0

3 years ago