<span> (17.) f(x)=x+3; g(x)=1/x^2
</span><span>If you take B f(x)=x+3 g(x)=1/x^2 plug the f(x) into the g(x) formula (in other words, f(x) becomes the x for g) g(x)=1/x^2 g(x)=1/(x+3)^2
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Answer:
Step-by-step explanation:
5 + 6 = 11 x 2 - 1 = 21 therefore its 21
Answer:
45 ways
Step-by-step explanation:
We are given;
there are 3 different math courses, 3 different science courses, and 5 different history courses.
Thus;
Number ways to take math course = 3
The number of ways to take science course = 3
The number of ways to take history course = 5
Now, if a student must take one of each course, the different ways it can be done is;
possible ways = 3 x 3 x 5 = 45 ways.
Thus, number of different ways in which a student must take one of each subject is 45 ways.
<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
Answer:
y = -4x + 4
Step-by-step explanation:
8x+2y+2=0
turn that into slope intercept form:
y = -4x - 1
a parallel line has the same slope, but different y-intercept
y = -4x + b
put (2,-4) into the equation
-4 = -4(2) + b
you get b=4
final product:
y = -4x + 4
