You would use d) power of a power because:
(x^4)^9
= (x^(4*(9))
= x^36
The product is -5x^2-27x-36
40x - 24 - 33x - 77 = 102
40x - 33x = 102 + 24 + 77
7x = 203
x = 29
Answer:

Step-by-step explanation:
In order to find the equation of this line, we need to note two things.
- A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
- B) We can substitute a point inside an incomplete equation to try and find a missing value.
So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.
- <u>Reciprocal of 7:</u>
- <u>Opposite of </u>
:
So the slope of this line will be
. The y-intercept will change, and we can substitute what we know into the equation
.

Now, we can substitute a point on the graph (14, 8) into this equation to find b.
Now that we know the y-intercept, we can finish off our equation by plugging that in.

Hope this helped!
Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions. But, we need a way to check without the graphs, because we won't always know what the graphs look like! then f(x) and g(x) are inverse functions.