2 years ago

F(x) = | 5x + 1 | - 3 g(x) = 4 Find (f - g) (x)

Mathematics

1 answer:

Slav-nsk [51]2 years ago

7 0

Answer: |5x+1|-7

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)=(|5x+1|-3)-4=\boxed{|5x+1|-7}$

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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

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This will be equal to:

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

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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

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