Question

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

Answer 1

Answer:

The correct option is d.

Step-by-step explanation:

The given functions are

$f(x)=7+4x$

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

Substitute x=5 in each function.

$f(5)=7+4(5)=7+20=27$

$g(5)=\frac{1}{2(5)}=\frac{1}{10}$

We need to find the value of (f/g)(5).

$(\frac{f}{g})(5)=\frac{f(5)}{g(5)}$

Substitute f(5)=27 and $g(5)=\frac{1}{10}$ in the above equation.

$(\frac{f}{g})(5)=\frac{27}{\frac{1}{10}}$

$(\frac{f}{g})(5)=27\times 10=270$

The value of  (f/g)(5) is 270. Therefore the correct option is d.

Answer 2

Answer:

$d. \ \boxed{270}$

Step-by-step explanation:

In this exercise we need to make a division and evaluate the new function at $x=5$. so we have two functions, namely:

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

Therefore:

$f(5)=7+4(5)=27 \\ \\ g(5)=\frac{1}{2\times 5}=\frac{1}{10}$

So:

$(f/g)(5)=\frac{27}{\frac{1}{10}}=270$