Question

Give the function Calculate the following values: A. F(-1) = B. F(0) = C. F(2) = D. Find two different (exact) values of x such that F(x) = -25. Enter your answers separated by a comma, e.g 1, 2. X = E. The domain of F(x) is _________ Note: write the domain in interval notation. If it includes more than one interval write the intervals separated by the union symbol

Answer 1

From the function we will have:

a. f(-1):

$f(-1)=5(-1)-8\Rightarrow f(-1)=-13$

b. f(0):

$f(0)=-5(0)-16\Rightarrow f(0)=-16$

c. f(2):

$f(2)=-5(2)-16\Rightarrow f(2)=-26$

d. We will find the values as follows:

$\begin{cases}5x-8=-25\Rightarrow5x=-17\Rightarrow x=-\frac{17}{5} \\ \\ -5x-16=-25\Rightarrow-5x=-9\Rightarrow x=\frac{9}{5}\end{cases}$

e. The domain of the function is all the real numbers:

$(-\infty,\infty)$