1)
y = ax+b
6 = 3a + b
18 = 5a + b
b = 6 - 3a
18 = 5a + 6 - 3a
2a = 12
a = 6
b = 6 - 18
b = -12
f(x) = 6x -12
2)
y = 2
No, because y ≠ 4
x = 2
No, because it's vertical<span>
</span>
y = 4
Yes, because x ∈ <span>ℝ and y = 4
</span>
x = 4
No, because it's verical
Answer:
f(g(x)) = -9(sqrt(x + 1) ) + 9
-36
Step-by-step explanation:
This is easier to see if you use the expanded notation.
f(g(x)) = ?
But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so
f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)
f(g(x)) = -9(sqrt(x + 1) ) + 9
Edit to get the numerical answer.
This should be your answer or the expression that will give you the answer.
f(g(24)) = -9(sqrt(24+1) ) + 9
f(g(24)) = -9sqrt(25) +9
f(g(24)) = - 9*5 + 9
f(g(24)) = - 45 + 9
f(g(24)) = - 36
1/2 lb DIVIDED among 7 people
1/2 ÷ 7 = 1/14 lbs per person
