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2 years ago

10

X y 2 -3 -1. 0 5. 5 3. 2 2. 1 Is this a function?

1 answer:

kondaur [170]2 years ago

8 0

9514 1404 393

Answer:

no

Step-by-step explanation:

A function will not have a repeated x-value. Here, the value 2 shows up twice in the X column. The relation is not a function.

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Answer:

$\frac{f}{g}(5)$ = 270 ⇒ Last answer

Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) = $\frac{1}{2x}$

* We want to find $\frac{f}{g}(5)$

- Lets find at first $\frac{f}{g}(x)$

∵ f(x) = 7 + 4x

∵ g(x) = $\frac{1}{2x}$

∴ $\frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}$

- Lets divide the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is $\frac{1}{2x}$

∴ (7 + 4x) ÷ $\frac{1}{2x}$

- Lets reverse the division sign to multiplication sign and reciprocal

the fraction after the division sign

∴ (7 + 4x) × $\frac{2x}{1}$

∴ $\frac{f}{g}(x)$ = 2x(7 + 4x)

∴ $\frac{f}{g}(x)$ = 14x + 8x²

- Now substitute x by 5

∴ $\frac{f}{g}(5)$ = 14(5) + 8(5)² = 70 + 200 = 270

∴ $\frac{f}{g}(5)$ = 270

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