Question

If f(x)=7+4x and g(x)=1/2x What is the value of (f/g)(5)?

Answer 1

If im not mistaken the answer is D 270

Answer 2

Answer:

$\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 270$

Step-by-step explanation:

We are given the following information in the question:

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

We have to find the values of $\displaystyle\frac{f}{g}(x)$

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

Putting x = 5, we have:

$\bigg(\displaystyle\frac{f}{g}\bigg)(x) = 2x(7+4x)\\\\\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 2(5)(7+20)=270$

270 is the required value of $\bigg(\displaystyle\frac{f}{g}\bigg)(5)$.