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2 years ago

Let f(x) -4x - 6 and g(x) = 3x + 5. Find (fºg)(-3).

Mathematics

1 answer:

Allushta [10]2 years ago

7 0

Answer:

Step-by-step explanation:

f(g(-3)

g(-3) = 3(-3) = -9 - 5 = -14

f(-14)= -4(-14) - 6 = 56 - 6 = 50

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10. Mark built a fence around his clubhouse. The perimeter of the fence is 80 feet. The

Svetlanka [38]

Answer:

if the clubhouse is 4 sided then the length would be 25 ft

Step-by-step explanation:

15x2=30

80-30=50

50/2=25

7 0

3 years ago

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State the domain restriction(s) in interval notation of \displaystyle f\left(g\left(x\right)\right)f(g(x)) given: \displaystyle

DENIUS [597]

Answer:

The interval notation for the domain is $[\frac{23}{3},\infty ]$ .

Step-by-step explanation:

Consider the provided information.

It is given that $\:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7$

We need to find the value of $f\left(g\left(x\right)\right)$ .

Put the value of g(x) in $f\left(g\left(x\right)\right)$ .

$f\left(g\left(x\right)\right)=f(x-7)$ ....(1)

Now, put x=x-7 in $\:f\left(x\right)=\sqrt{3x-2}$

$\:f\left(x-7\right)= \sqrt{3(x-7)-2}$

$\:f\left(x-7\right)= \sqrt{3x-21-2}$

$\:f\left(x-7\right)= \sqrt{3x-23}$

From equation 1.

$f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}$

The domain of the function is the set of input values for which a function is defined.

Here, the value of $3x-23$ should be greater or equal to 0 as the square root of a negative number is not real.

Domain= $3x-23\geq0$

$x\geq\frac{23}{3}$

The value of x is all real number greater than $\frac{23}{3}$ .

Hence, the interval notation for the domain is $[\frac{23}{3},\infty ]$ .

7 0

2 years ago

Name the solid and find its volume. Use 3.14 as the approximate value of pi.

sineoko [7]

It is given in the question that the solid is a cone with height of 16 units and radius of 7 units .

The formula of volume of cone is

$V = \frac{1}{3} \pi r^2 h$

To find the volume, we substitute the given values of r and h and use 3.14 for pi. That is

$V = \frac{1}{3} *3.14*7^2 *16 = 820.6 \ units \ cube$

And that's the required volume of the cone .

7 0

2 years ago

6) Aisha uses 2 meters of thread for every three squares that she se

Serggg [28]

Answer:

57 squares

Step-by-step explanation:

38/2=19

19*3=57

3 0

2 years ago

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Which of these answers best describes the core?

lesya [120]

Full question plzz we need to know what the core is

6 0

2 years ago