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3 years ago

Which of the following graphs represents a function?

Mathematics

1 answer:

gayaneshka [121]3 years ago

8 0

Answer:

the second one

hope this helps

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F(x) = 3x-1 , (f of g)(x) = x^2 , Find g(x)

fomenos

Answer:

$g(x)=\dfrac{x^2+1}{3}$

Step-by-step explanation:

Given functions:

$\begin{cases}f(x)=3x-1\\(f \circ g)(x)=x^2\end{cases}$

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (f o g)(x) means to substitute function g(x) in place of the x in function f(x).

$\begin{aligned}(f \circ g)(x) & = x^2\\f(g(x)) & = x^2\\\implies 3(g(x))-1 & = x^2\\3(g(x))-1+1 & = x^2+1\\3(g(x))&=x^2+1\\\dfrac{3(g(x))}{3}&=\dfrac{x^2+1}{3}\\\implies g(x)&=\dfrac{x^2+1}{3}\end{aligned}$

Therefore:

$\boxed{g(x)=\dfrac{x^2+1}{3}}$

6 0

1 year ago

At the beginning of the season, MacDonald had to remove

icang [17]

Answer:

heehfbhjbC EAEJ

Step-by-step explanation:

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6 0

3 years ago

In the paper drive, 4 boys brought old papers to school as follows: Fred, 30 pounds; Albert, 40 pounds; Henry, 10 pounds; and Pe

seraphim [82]

B: 30 pounds is the correct answer

5 0

3 years ago

Read 2 more answers

Find the midpoint of the segment with the following endpoints. (5,5) and (10,8)

Solnce55 [7]

Answer: G

Step-by-step explanation:

8 0

3 years ago

Pls help question b

Snowcat [4.5K]

Answer: 44

Step-by-step explanation:

1/5 of the slab are grey implies that 4/5 are yellow.

The ratio of grey to yellow is thus given as :

1/5 : 4/5

which is 1 : 4

Therefore , the ratio of grey to yellow is 1: 4

The total ratio = 1 + 4 = 5

To calculate the number of yellow , we use the formula

number of yellow = $\frac{ratio of yellow}{total ratio}$ X total number of slabs , that is

number of yellow = $\frac{4}{5}$ X 55

number of yellow slab = 44

3 0

3 years ago