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3 years ago

No links I can use structure to evaluate expressions with more than one term.

Mathematics

1 answer:

Olegator [25]3 years ago

3 0

I wish I could help but I don't know

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Please help. Not sure how to do this one

Sladkaya [172]

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Step-by-step explanation:

Given

$f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2$

We have to find

$(hofog)(x)$

This will be equal to:

$h(f(g(x)))$

So we have to find the composition of (fog)(x) first

$(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}$

Now,

$(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}$

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Keywords: Composition, Functions

Learn more about function composition at:

#LearnwithBrainly

8 0

3 years ago

Easier way to learn multiplication

joja [24]

Do this every day
1x1=

2x1

3x1

4x1

5x1

6x1

AND SO ON JUST DO TABLE BY TABLE

6 0

3 years ago

George bought 7.5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did Geo

lions [1.4K]

First step

12 x 1.3

Second step

15.6 x 7.5

The answer is 117 :)

6 0

3 years ago

Read 2 more answers

The table shows the conversion of several amounts of liters to liquid pints.

aniked [119]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Go step by step to reduce the radical of the equation given. (Figure the step for the box)

Rama09 [41]

$\sqrt{32} ~~ \begin{cases} 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^4\cdot 2\\ \qquad 2^{(2)(2)}\cdot 2\\ \qquad (2^2)^2\cdot 2 \end{cases}\implies \sqrt{(2^2)^2\cdot 2}\implies 2^2\sqrt{2}\implies 4\sqrt{2}$

7 0

1 year ago