f(x)={8 x + 9}/(2 x + 7)(8 x + 6)

-Find the x and y intercepts.
-How would I go about finding the x and y intercepts in problems like this?

y intercept is when x is zero

x intercept is when y is zero.

I will do the harder one:
x intercept, set f(x)=0

0=(8x+9)/( )( )

the only way the right side is zero is if
8x+9=0 or x= -9/8

That is what I tried but it said I was wrong?

To find the x-intercepts and y-intercepts of the given function f(x), we need to understand what these intercepts represent.

The x-intercepts are the points where the graph of the function intersects the x-axis. At these points, the value of y (or f(x)) is equal to 0. So, to find the x-intercepts, we need to solve the equation f(x) = 0.

The y-intercept is the point where the graph of the function intersects the y-axis. At this point, the value of x is equal to 0. Therefore, to find the y-intercept, we need to evaluate f(0).

Now, let's find the x and y intercepts for the given function f(x) = (8x + 9) / ((2x + 7)(8x + 6)).

1. X-intercepts:
To find the x-intercepts, set f(x) = 0 and solve for x:
(8x + 9) / ((2x + 7)(8x + 6)) = 0

Since the numerator cannot be zero, we set the denominator equal to zero:
(2x + 7)(8x + 6) = 0

Now, solve each factor to find the x-intercepts:
2x + 7 = 0
2x = -7
x = -7/2

8x + 6 = 0
8x = -6
x = -6/8
x = -3/4

Therefore, the x-intercepts are x = -7/2 and x = -3/4.

2. Y-intercept:
To find the y-intercept, substitute x = 0 into the function f(x):
f(0) = (8(0) + 9) / ((2(0) + 7)(8(0) + 6))
f(0) = 9 / (7 * 6)
f(0) = 9 / 42
f(0) = 3 / 14

Therefore, the y-intercept is (0, 3/14).

To summarize, the x-intercepts are x = -7/2 and x = -3/4, and the y-intercept is (0, 3/14).

To find the x-intercepts and y-intercepts of a function, follow these steps:
1. For x-intercepts, set f(x) = 0 and solve for x.
2. For y-intercept, evaluate f(0).