Answer:
Step-by-step explanation:
we know that
The equation of a exponential function is of the form
where
a is the initial value or y-intercept
b is the base of the exponential function
In this problem we have
----> the y-intercept is given
substitute
we have the other ordered pair (1,10)
substitute the value of x and the value of y and solve for b
substitute
see the attached figure to better understand the problem
Answer:
(-1, -1/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( -11+9)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(0+-1)/2 = -1/2
(-1, -1/2)
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
(-3,2) (0,0) i think. it’s been a whole
