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Neporo4naja [7]
3 years ago
9

(a) if g(x) = 3x + 1 and h(x) = 9x2 + 6x + 7, find a function f such that f ∘ g = h. (think about what operations you would have

to perform on the formula for g to end up with the formula for h.)
Mathematics
1 answer:
QveST [7]3 years ago
4 0
Let's say that f(x) = ax^2 + bx + c

if f(g(x)) = 9x^2 + 6x + 7:
a(3x + 1)^2 + b(3x + 1) + c = 9x^2 + 6x + 7
9ax^2 + 6ax + a + 3bx + b + c = 9x^2 + 6x + 7
Comparing the two equations, we can see that a = 1, b = 0 and c = 6, therefor f(x) = x^2 + 6
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4 years ago
PLEASEEEEE HELPPPP!!!!!!!!
katen-ka-za [31]

Answer:

The answer in the procedure

Step-by-step explanation:

we have the right triangle ABC

The pre-image coordinates are

A(0,0),B(0,3),C(4,0)

The transformation to use is the translation

The rule of the translation is

(x,y)-----> (x+10,y)

That means----> The translation is 10 units to the right

The image coordinates are

Applying the rule of the translation

A'(0+10,0)=A'(10,0)

B'(0+10,3)=B'(10,3)

C'(4+10,0)=C'(14,0)  

using a graphing tool

see the attached figure

8 0
4 years ago
9. SHOW FULL STEPS. Solve for f(-4) and f(7) of the function below<br>f(x)=7-2x-3x²​
qwelly [4]

Answer:

f(-4) = 33

f(7) = -154

Step-by-step explanation:

In this question, you will solve the function by plugging in the given value.

Solve:

f(-4) = 7 - 2(-4) -3(-4)²​

= 7 - 2(-4) - 48

= 7 + 8 - 48

= 7 - 40

f(-4) = 33

----------------------------------

f(7) = 7 - 2(7) -3(7)²​

= 7 - 2(7) - 147

= 7 - 14 - 147

= 7 - 161

f(7) = -154

8 0
3 years ago
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prohojiy [21]

Answer:

mass = 0.12 kg

Step-by-step explanation:

Force = mass • acceleration

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divide each side by 127 145 m/s/s

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rounded to 2 decimal places

0.12 kg = mass

8 0
2 years ago
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