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Natasha_Volkova [10]
2 years ago
6

Help me please 100 points!!

Mathematics
2 answers:
yarga [219]2 years ago
8 0

If function and inverse be

\\ \rm\longmapsto f(x)\:and\:f^{-1}(x)

Both will seem to be opposite and similar .

Look at the first one

It is showing like 1 is function and other one is its inverse(Attachment )

Hence 1st one is the answer

Aleksandr [31]2 years ago
4 0

Answer:

The answer is in above

#CarryOnLearning

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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
What kind of triangle has sides that have length 4, 8, and 10? ( the triangle acute, right, or obtuse ?)
dybincka [34]

Answer:

acute because your a cutie

Step-by-step explanation:

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2 years ago
Cuanto da (9+4m)² cuadrado de binomio ayudaaaaa
Korolek [52]

Answer:

16m^2 + 72m + 81

Step-by-step explanation:

you expand it, by (9+4m)(9+4m), using distributive property you get

81 + 36m + 36m + 16m^2, simplifying you get the answer

8 0
1 year ago
Match the like terms (picture provided)​
OverLord2011 [107]

-x ---------------- 1x

7y --------------- 12y

-12x^2 --------- 8x^2

a ----------------- -2a

6a^2------------ a^2

-5x^3 ---------- 15x^3

_____________________

you just have to match the terms which have the same power.

Hope it helps ^^

8 0
3 years ago
I GIVEEEE BRAINLILSTT
Zigmanuir [339]
Alr bet x + 8 y - 9 :)
6 0
3 years ago
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