Question

answer the questions about the following function. f(x) = (x + 5)/(x - 3) (a) is the point (5,3) on the graph of f? (b) if x = 1, what is f(x)? what point is on the graph of f? (c) if f(x) = 2, what is x? what point(s) is/are on the graph of f? (d) what is the domain of f? (e) list the x - intercepts, if any, of the graph of f. (f) list the y - intercept, if there is one, of the graph of f. (a) choose the correct answer. a. no, because f(5)≠3. b. yes, because f(5)=3. c. no, because f(3)≠5. d. yes, because f(3)=5.

Explanation:

Step1: Substitute x = 5 into f(x)

$f(5)=\frac{5 + 5}{5-3}=\frac{10}{2}=5$

Step2: Compare f(5) with 3

Since $f(5)=5
eq3$, the point (5,3) is not on the graph of f.

Answer:

A. No, because f(5)≠3.