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zhannawk [14.2K]
2 years ago
12

Let f(x) = log3(x) and g(x) = 3x.

Mathematics
1 answer:
QveST [7]2 years ago
5 0

Answer with Step-by-step explanation:

We are given that

f(x)=log_3(x)

g(x)=3x

a.We have to find g(f(x))

g(f(x))=g(log_3(x))

g(f(x))=3log_3(x)

b.We can see that

f(x) is logarithm function and g(x) is linear function.

But , the composition function gof(x) is also logarithmic function.

The composition function gof(x) is 3 times the function f(x).

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2) The 114 students in the ninth grade at Mathville High are going on a field trip to the science
9966 [12]

Answer:

4 buses

Step-by-step explanation:

40b=114+114/10

40b=114+11.4

40b=125.4

b=3.135

The answer is 4 because you have to round up to get the remaining people.

5 0
3 years ago
The numbers in this chart represent the weights in kilograms of five
Nitella [24]
John’s is the outlier
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3 years ago
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Dennis, Emily, and Fernando want to find the zeros of the polynomial p(x)=x3+6x2+9x. Each student worked independently and prese
alexandr402 [8]

Answer:

  • Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
  • Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
  • Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.

Step-by-step explanation:

The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.

3 0
3 years ago
The function f(x) = g(x), where f(x) = 2x – 5 and g(x) = x2 – 6.
den301095 [7]

Answer:

x=2.4

Step-by-step explanation:

<u>Solving Equations Using Successive Approximations</u>

We need to find the solution to the equation

f(x)=g(x)

where

f(x)=2x-5

g(x)=x^2-6

The approximation has been already started and reached a state for x=2.5 where

f(2.5)=0

g(2.5)=2.5^2-6=0.25

The difference between the results is 0.25, we need further steps to reach a good solution (to the nearest tenth)

Let's test for x=2.4

f(2.4)=-0.2

g(2.4)=2.4^2-6=-0.24

The new difference is -0.2+0.24=0.04

It's accurate enough, thus the solution is

\boxed{x=2.4}

5 0
2 years ago
What is the least common denominator for 2/5 + 3/7
muminat

Answer:

35

Step-by-step explanation:

2/5 + 3/7

the least common denominator is 35 because 14/35 + 15/35.

3 0
3 years ago
Read 2 more answers
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