Question

For each of the following questions, if there is more than one solution, enter all solutions as a comma-separated list (like "1, 3").Consider the function f(x)=6(x+8)−5.What is the vertical intercept of f?What are the horizontal intercepts (or "roots") of ff?

Answer 1

Answer:

Vertical intercept at y=43

Horizontal intercept at x=$-\frac{43}{6}$

Step-by-step explanation:

We are given that a function

$f(x)=6(x+8)-5$

We have to find the vertical intercept and horizontal intercept.

Vertical intercept : It is defined as the value of y for  which x is equal to zero.

Horizontal intercept: It is defined as the value of x for which y is equal to zero.

Let y=$f(x)=6(x+8)-5$

Substitute x=0

$y=6(8)-5$

$y=43$

Therefore, vertical intercept at y=43

Substitute y=0

$0=6(x+8)-5$

$6x+48=5$

$6x=5-48=-43$

$x=\frac{-43}{6}$

Horizontal intercept at x=$-\frac{43}{6}$