Answer:
(fog)(a) = a³ - 3a² + 4a - 2
= (a - 1)×(a² - 2a + 2)
Step-by-step explanation:
<u><em>Given</em></u> :
g(a) = a -1
f(a)= a³ +a
…………………………
(fog)(a) = f(g(a)))
= g(a)³ + g(a)
= (a - 1)³ + (a - 1)
= (a³ - 3a² + 3a - 1) + (a - 1)
= a³ - 3a² + 3a - 1 + a - 1
= a³ - 3a² + 3a + a - 1 - 1
= a³ - 3a² + 4a - 2
<u><em>Second method</em></u> :
(fog)(a) = f(g(a)))
= f(a - 1)
= (a - 1)³ + (a - 1)
= (a - 1)×[(a - 1)² + 1]
= (a - 1)×[a² - 2a + 1 + 1]
= (a - 1)×(a² - 2a + 2)
Y = 2x + 1
y = 2x - 1
so the 1st one has a y int of 1 and the second one has a y int of -1...so the original line will shift down 2 units
Answer:
(-4,-2)
Step-by-step explanation:
Point f is on x -4, which is in the first slot and y -2 which is your second slot
Answer:
13n +9
Step-by-step explanation:
There is nothing to solve. We can simplify the expression by eliminating parentheses and combining like terms.
7n +6(n +4) -15 . . . . . . given
7n +6n +6(4) -15 . . . . use the distributive property
(7 +6)n +(24 -15) . . . .identify and group like terms
13n +9 . . . . . . . . . . combine like terms
320,000,000,000 I’m pretty sure I’m right