Answer:
(- 1, 1 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 4 → (1)
y = x + 2 → (2)
Substitute y = 3x + 4 into (2)
3x + 4 = x + 2 ( subtract x from both sides )
2x + 4 = 2 ( subtract 4 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting x = - 1 into (2)
y = - 1 + 2 = 1
Solution is (- 1, 1 )
Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
the opposite or addictive increase of 5x is -5x.
the opposite or addictive increase of 5x + 8 is -5x -8.
We have the following function:
P (m) = m / 6 + 9
Clearing m we have:
m = 6 * (p-9)
m= 6*p - 6*9
Rewriting:
m (p) = 6p-54
Answer:
The inverse function for this case is given by:
m (p) = 6p-54
option A
