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Kruka [31]
3 years ago
9

What is the function of f(g(x)) if f(x)= x^2+1 and g(x)=3x

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Step-by-step explanation:

For this composition function, f(g(x)), we should substitute g(x) anytime we see an x variable in f(x):

x^{2} + 1

[g(x)]^{2} + 1

(3x)^{2} + 1

9x^{2} + 1

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3 years ago
A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probabilit
valina [46]
Hello!

You first find out how many objects there are in total


4 + 9 + 3 = 16

Then you find the probability of Liliana picking a orange

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Next you find the probability of Liliana picking a pear

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3 0
3 years ago
Calculate the following derivative if <br> f(x) = sin(x)<br> and <br> g(x) = 5x + 4.
gayaneshka [121]

Answer:

Rewrite the function as an equation.

y

=

5

x

−

4

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Find the values of  

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and  

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using the form  

y

=

m

x

+

b

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m

=

5

b

=

−

4

The slope of the line is the value of  

m

, and the y-intercept is the value of  

b

.

Slope:  

5

y-intercept:  

−

4

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

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values.

Tap for fewer steps...

Choose  

1

to substitute in for  

x

to find the ordered pair.

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Replace the variable  

x

with  

1

in the expression.

f

(

1

)

=

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Simplify the result.

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1

The  

y

value at  

x

=

1

is  

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y

=

1

Choose  

0

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to find the ordered pair.

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Replace the variable  

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f

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5

(

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−

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The  

y

value at  

x

=

0

is  

−

4

.

y

=

−

4

Create a table of the  

x

and  

y

values.

x

y

0

−

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1

1

Graph the line using the slope and the y-intercept, or the points.

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y-intercept:  

−

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x

y

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Step-by-step explanation:

8 0
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