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strojnjashka [21]
3 years ago
8

If f(x)=x^2-x and g(x)=x+1, determine f (g(x)) in simplest from

Mathematics
2 answers:
AysviL [449]3 years ago
6 0

f(g(x)) is basically replacing the x with g(x).

So, f(x)=(g(x))^2 - g(x)

g(x), in turn, equals x+1

Replace g(x) with x+1

(x+1)^2 - (x+1)

Expand: x^2+x+x+1 - x - 1

Cancel out x and 1

f(g(x))=x^2+x

If you require factoring it's

f(g(x))=x(x+1)

Burka [1]3 years ago
4 0

Answer:

f(g(x)) = x^2 +x

Step-by-step explanation:

To find f(g)(x) , we substitute g(x) in for x in the function f(x)

f(x) = x^2 -x

f(g(x)) = g(x)^2 -g(x)

          = (x+1)^2 - (x+1)

           = (x+1)*(x+1) - (x+1)

FOIL the square

             (x+1) (x+1)

         First x*x = x^2

        outer x*1 = x

        inner 1*x = x

       last  1*1 =1

Add them together

x^2 + x+x+1 = x^2+2x+1


f(g(x)) = (x+1)*(x+1) - (x+1)

           = x^2+2x+1 -(x+1)

Distribute the -1

          = x^2 +2x+1 -x-1

          = x^2 +x

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Simplify the expression<br>7(5+t)-3(t+2)=​
Vaselesa [24]

Answer:

4t + 29

Step-by-step explanation:

7(5 + t) - 3(t + 2)

35 + 7t - 3t - 6

4t + 35 - 6

4t + 29

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 6/7 divided by 3/5 ?
Harman [31]

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3

8 0
2 years ago
The median household incomes in dollars in four towns over time are shown. Assume the median incomes increase linearly. Median H
marysya [2.9K]

Answer:

Step-by-step explanation:

Household.          Year 2010.         Year 2015.           Difference

Adderley.              47,200               58,200.                11,000

Bonniville.              52,900.             62,400.                9,500

Clay City.               44,600.              57,600.                13,000

Daletown.              41,500.               54,000.               12,500

Percentage increase for Adderley = 11,000/47,200 * 100= 23.3%

Percentage increase for Bonniville = 9,500/52,900 * 100= 17.96%

Percentage increase for Clay City = 13,000/44,600 * 100= 29.15%

Percentage increase for Daletown = 12,500/41,500 * 100= 30.12%

We can now see that Bonniville is the city with the lowest rate of increase in median household income.

7 0
3 years ago
In a recent​ poll, 44​% of survey respondents said​ that, if they only had one​ child, they would prefer the child to be a boy.
viva [34]

Answer:

a) The probability that 71 of 150 will prefer boy child is 71/150 or 0.47

b) The result contradicts the poll actual percentage is 47.33% which is 3.33% more than the poll predicted

Step-by-step explanation:

If 71 out of 150 prefer boy child

The probability that the 71 will prefer boy child is

= 71/150

The actual percentage is

(71/150)*100%

= 47.33%

This contradicts the poll as this is more than the poll predicted. That means Less than 71 of 150 actually preferred boy child.

5 0
3 years ago
John invests a sum of money in a
nexus9112 [7]

Answer: 0.000007638035

Step-by-step explanation:

We can use the formula for compound interest to solve this.

Now, the formula goes thus:

A = P ( 1 + r/n)^nt

Where A is the amount compounded, P is the initial amount I.e the principal, r is the rate in % , t is the time while n is the number of times the interest is compounded per time I.e how many times per year.

From the question, we get the following parameters, A = $1912.41 , P = ? , t = 15 years, r = 2.63% and n = 1 of course.

Now, we substitute these into the formula

1912.41 = P ( 1 + 2.63) ^ 15

1912.41 = P ( 3.63) ^ 15

1912.41 = P ( 250,379,850)

P = 1912.41 ÷ 250,379,850

P = 0.000007638035

Looks pretty funny an answer right?

6 0
3 years ago
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