Question

Let f(x) = - 2x + 7 and g(x) = x² + 18.Find f(1)/g(1).f(1)/g(1)= (?)(Type an integer or a simplified fraction.)

Answer 1

We are given the expressions for functions f(x) an g(x). We want to calculate f(1)/g(1). To do so, we will first calculate f(1) and g(1) and then divide both results. So we begin by calculating f(1).

To calculate f(1), we will replace x by 1 in the expression of f(x). So we have that

$f(1)=\text{ -2(1)+}7=7\text{ -2 = 5}$

Now,we will calculate g(1) using the same method.

$g(1)=(1)^2+18=1+18=19$

so

$\frac{f(1)}{g(1)}=\frac{5}{19}$