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Snezhnost [94]
2 years ago
14

If f(x) = 2x^2+3 and g(x)= 5x, evaluate the following: a. f(g(x)) b. g(g(3)) c. g(f(-2))

Mathematics
1 answer:
marissa [1.9K]2 years ago
8 0

Answer:

A = 50x^2+3

B = 75

C = 55

Step-by-step explanation:

f(x)=2x^2+3\\g(x)=5x

A. f(g(x))

2(5x)^2+3\\2(25x^2)+3\\=50x^2+3

B. g(g(3))

5(5(3))\\5(15)\\=75

C. g(f(-2))

g(2(-2)^2+3)\\g(8+3)\\g(11)\\5(11)\\=55

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Answer:

see below

Step-by-step explanation:

4 ^(3x-1)=3

Take the natural log of each side

ln(4 ^(3x-1))= ln (3)

We know that ln ( a^b) = b ln a

(3x-1) ln 4 = ln 3

Divide each side by ln 4

3x-1 = ln(3)/ (ln4)

Add 1 to each side

3x = ln(3)/ ln (4) +1

Divide by 3

x =1/3 [( ln 3)/ ln (4)] + 1/3

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6 0
2 years ago
State all integer values of x in the interval (-3, 3] that satisfy the following
Galina-37 [17]

(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.

We have given

-3x+4 > 9

Required values of x.

State the values of x within -3 and 3.

subtract 4 from both sides,

-3x+4-4>9-4

<h3>What is the meaning of like terms?</h3>

like terms are terms that have the same variables and powers. The coefficients do not need to match.

Collect Like Terms

-3x > 5

(-3x)(-1)   <   5(-1)

3x  <  -5

Divide both sides by 3

3x/3 < -5/3

x    <   -5/3

(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.

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3 0
2 years ago
Which point is an x-intercept of the quadratic equation (x-8)(x+9)
defon

Solve for x in each set of parentheses by setting them to 0:

X -8 = 0

X = 8

X+9 = 0

X =-9

You have two x intercepts (8,0) and (-9,0)

You didn’t list any choices to pick from but it would be either if the ones above.

5 0
3 years ago
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Answer is A. 406m2 so there is the answer to anyone who comes across this.

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3 years ago
After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third
irinina [24]

Answer:

The 3rd term is

ar^2

Step-by-step explanation:

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7 0
3 years ago
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