Question

If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)? Eleven-halves StartFraction 27 Over 10 EndFraction 160 270

Answer 1

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

Answer 2

Answer:

D) 270

Step-by-step explanation:

edge your welcome now FINISH THIS TEST