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grin007 [14]
3 years ago
5

If f(x) =x^2 + 4x and g(x) = 2x +4, find (fg)(1)

Mathematics
1 answer:
snow_lady [41]3 years ago
5 0

Step-by-step explanation:

Set up the composite result function.

f(g(x))f(g(x))

Evaluate f(g(x))f(g(x)) by substituting in the value of gg into ff.

f(x2)=2(x2)−4f(x2)=2(x2)-4

Multiply 22 by x2x2.

f(x2)=2x2−4f(x2)=2x2-4

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Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?
zmey [24]
3(1)+4<span>≥ 13
7</span><span>≥ 13 
No

3(2.5)+4</span><span>≥ 13
11.5</span><span>≥ 13
No

3(3)+4</span><span>≥ 13
13</span><span>≥ 13
Yes

{3, 4.5, 5}</span>
3 0
3 years ago
Read 2 more answers
Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)​
Rudiy27

Answer:

-  \frac{8}{5}

Step-by-step explanation:

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.

Gradient of the line

=  \frac{6 - ( - 2)}{ - 2 - 3}

=  \frac{6 + 2}{ - 5}

=   - \frac{8}{5}

7 0
3 years ago
After a 40% discount, the cost of a sofa is $471.00. What was the original cost of the sofa? NEED HELP ASAP
statuscvo [17]

Answer: $659.40

Step-by-step explanation: You start with 471.00 X 0.4 which equals $188.40. So then you add $471.00 and $188.40 and you get $659.40!

5 0
3 years ago
What is the probability of rolling a dice at most 3 times until a 6 occurs
IRISSAK [1]

Answer:

Probablity of getting six in at most three roll= 0.199.

Step-by-step explanation:

Given: Dice rolled at most 3 times untill a 6 occurs.

First, finding the probablity of getting 6 in a dice if rolled once.

Probablity= \frac{chances\ of\ occurance}{Total\ number\ of\ event}

We know, dice have six side, therefore, total number of event will be 6.

∴ Probablity of getting six in one roll= \frac{1}{6}

As given, Dice is rolled at most 3 times.

Now, finding the probablity of getting 6 in a dice if rolled 3 times.

∴ Probablity of getting six in three roll= \frac{1}{6}+(\frac{1}{6})^{2} +(\frac{1}{6})^{3}

⇒ Probablity of getting six in three roll=  \frac{1}{6}+\frac{1}{36} +\frac{1}{216}

Taking LCD 216

⇒Probablity of getting six in three roll= \frac{1\times 36+ 6\times 1+1}{216}

⇒Probablity of getting six in three roll= \frac{43}{216}

∴Probablity of getting six in three roll=0.199

           

3 0
3 years ago
Choose function or not a function {(0, 3), (4, 2), (3, 5), (4, 6), (5, 7)}
Montano1993 [528]

Answer:

not a function

Step-by-step explanation:

if any of the x values are the same then it isn't a function

4 0
3 years ago
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