Question

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

Answer 1

The value of $(\frac{f}{g})(5)$ is $\frac{27}{35}$

Explanation:

Given that $f(x)=7+4x$ and $g(x)=7x$

The value of $(\frac{f}{g})(5)$:

The value of $(\frac{f}{g})(5)$ can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of $(\frac{f}{g})(5)$

Thus, we have,

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

Substituting the value of x = 5 in the functions f(x) and g(x), we get,

$(\frac{f}{g})(5)=\frac{7+4(5)}{7(5)}$

Simplifying the terms, we have,

$(\frac{f}{g})(5)=\frac{7+20}{35}$

Adding the terms in numerator, we have,

$(\frac{f}{g})(5)=\frac{27}{35}$

Thus, the value of $(\frac{f}{g})(5)$ is $\frac{27}{35}$