All categories

4 years ago

Given that f(x) = 6x + 2 and g(x) =2x+4 over 5 solve for g(f(1))

Mathematics

1 answer:

Lady bird [3.3K]4 years ago

6 0

F(1)=6(1)+2
= 6+2
=8

g(f(1))= 2x/5 +4/5
= 2(8)/5 +4/5
= 16/5 +4/5
= 20/5
=4

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%5Clarge%7B%5Cbold%20%5Cred%7B%20%5Csum%20%5Climits_%7B8%7D%5E%7B4%7D%20%7Bx%7D%5E%7B2%7D%2

kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed $a\leq x \leq b$ and in your case $\nexists x\in\mathbb{Z}: a\leq x\leq b$ for $a>b$

In fact, considering a set $S$ we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing$ that satisfy $S = S \cup \varnothing$

This means that, by definition $\sum_{x=a}^b \varnothing = 0$

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

we have other problems. Actually, this case is really bad.

Note that $\cos^2(\infty)$ has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$ , the cosine function oscillates between $[-1, 1]$ , and therefore it is undefined. Thus, we cannot evaluate

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0

3 years ago

What is the sale of change of the function represented by the table

solniwko [45]

Answer:

Step-by-step explanation:

5 0

3 years ago

4. Kyle drives his truck 429 miles on 33 gallons of

Westkost [7]

Answer:

Step-by-step explanation:

429 divided by 33 =13

3 0

3 years ago

Read 2 more answers

There are 9 squares and 15 circles what is the simplest ratio of squares to circles

Natali5045456 [20]

Answer:

Step-by-step explanation:

Hj jdhaiwn

6 0

3 years ago

Solve for x: (5x + 12) = 18 1) 102/5 2) 78/5 3) 6 4) 30

love history [14]

The option for your answer isn’t on here, your answer would be 6/5 but the closest thing to that is 6 so‍♀️!

4 0

3 years ago