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goblinko [34]
2 years ago
10

The graph of which function will have a maximum and a y-intercept of 4?

Mathematics
1 answer:
lakkis [162]2 years ago
6 0

Answer:(0,-4)

Step-by-step explanation:

A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).

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If h(x)=(f o g) (x) and h(x)= ∛x+3, find g( x) if f(x)= ∛x+2 (picture attached)
Aleksandr-060686 [28]

Answer:

g(x) = x+1

Step-by-step explanation:

Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...

h(x) = f(x+1) = f(g(x))

so

g(x) = x+1

_____

More formally, you can apply the inverse of the function f(x) to the equation ...

h(x) = f(g(x))

f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied

f^-1(h(x)) = g(x) . . . . . . . . . simplified

Now f^-1(x) can be found by solving for y in ...

x = f(y)

x = ∛(y+2) . . . . . . . . . definition of f(y)

x^3 = y+2 . . . . . . . . . cube both sides

x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides

So, f^-1(h(x)) is ...

f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2

g(x) = x+1

5 0
3 years ago
8x − 4y = −16 <br> 3x + 15y = −6
mr_godi [17]

Answer:

good job that is correct

Step-by-step explanation:

goooooooooooooooooooooooood joooooooooooooooob

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6 0
2 years ago
-2(3 + 4x)<br><br>I need help​
11Alexandr11 [23.1K]

Answer:

-6-8x

Step-by-step explanation:

distribute and multiply

4 0
3 years ago
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A cereal box says that now it contains 20% more. Originally, it came with 20 ounces of cereal. How much cereal does the box come
Novosadov [1.4K]

Answer:24ounces

Step-by-step explanation:

Multiply 20 ounces by .20 (The percent) then add your answer to the 20 ounces.

6 0
2 years ago
What is x in 6x - 4 = 8 ( 2 +1/4 x)
defon

Answer:

5

Step-by-step explanation:

move the terms 6x-4=16+2x

collect like terms 6x-2x=16+4

divide both sides 4x=20

x=5

4 0
2 years ago
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