MATHEMATICS HIGH SCHOOL

WILL MARK BRAINLIEST!!!!!!f(x) = x2 + 3; g(x) = Square root of quantity x minus two.

Find f(g(x)).

f(g(x)) = (x2 + 3)(Square root of quantity x minus two.)
f(g(x)) = Square root of quantity x minus two divided by quantity x squared plus three.
f(g(x)) = x + 1
f(g(x)) = Square root of quantity x squared plus three.

Answers

Answer 1

Answer:

Answer:

The correct option is 3.

Step-by-step explanation:

The given functions are

$f(x)=x^2+3$

$g(x)=√(x-2)$

We need to find the value of f(g(x)).

$f(g(x))=f(√(x-2))$ $[\because f(x)=x^2+3]$ .... (1)

Substitute $x=√(x-2)$ in function f(x) to find the value of $f(√(x-2))$ .

$f(√(x-2))=(√(x-2))^2+3$

$f(√(x-2))=x-2+3$

$f(√(x-2))=x+1$

Substitute the value of $f(√(x-2))$ in equation (1).

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

Therefore, the correct option is 3.

Answer 2

Answer: f(x) = x^2 + 3
g(x) = sqrt(x - 2)

f(g(x)) = x - 2 + 3 = x + 1

Related Questions

If a store uses a selling price-based markup of 40% and an item costs the store $300, what selling price would the store set for the item?
An online furniture store sells chairs for $100each and tables for $500 each. The store mustsell a minimum of $8300 worth of chairs andtables each day. Write an inequality that couldrepresent the possible values for the number oftables sold, t, and the number of chairs sold, c,that would satisfy the constraint.
Answer the question in the attachment below PLEASE ANSWER QUICKLY AND I'LL GIVE YOU BRAINLIEST
A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.What kind of statistical study did the veterinarian conduct?A. theoretical studyB. surveyC. experimentD. observational study
What is the value of 2 in 32?

Log(8)a/2. Expand the logarithmic expression.

Answers

log(8a/2) = log8 + log a - log 2

The simple rules here are: If logarithms (as in this case) have same basis, factors inside logarithm can be written as sum of logarithms or difference between logarithms (first if factors are multiplying and second if factors are dividing)

What is (-m)^-3n, if m= 2 and n= -24?a. 3b. -3c. 4. d. -4

Answers

$(-m)^(-3)n\n\nm=2;\ n=-24\n\nsubtitute\n\n(-2)^(-3)\cdot(-24)=(1)/((-2)^3)\cdot(-24)=(1)/(-8)\cdot(-24)=(-24)/(-8)=3$

Answer: a. 3

HELP ME PLEASE !!!!!!! WILL GIVE 50 ptsThe function f(x) = –x2 + 18x – 72 models the daily profit, in dollars, a gym makes for selling memberships, where x is the number of memberships sold, and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem? )

Answers

Vertex formula = -b/2a
-18/1 = 18.
However, this is just the x value, the vertex is (x,y)
-18*2 + 18(18) - 72 = 576
A) (18,576)
576 dollars made with 18 members is the highest amount made in one day.

B) (12,0) (6,0)

B) (12,0) (6,0) .....

Steve saw 313 birds during a bird-watching trip to Yellowstone National park. he observes 15 more trumpeter swans than sandhill cranes. he saw twice as many mountain chickadees as ducky grouses. how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grousesNEED ASAP!

Answers

Answer:

Step-by-step explanation:

328

AC=A, C, equals
Round your answer to the nearest hundredth.

Answers

Answer:

We have the equation A*C = A

Now, as both sides of the equality are the same thing, we can do the same operation to both sides and the equality will remain true.

We can divide both sides by A and get:

(A*C)/A = A/A

C = 1

So here we finded the value of A.

If A and C are matrices, then C is the identity matrix.

The given statement is mathematically impossible, as there is no number that is equal to both itself and its opposite. Therefore, the answer is undefined.

In other words, there is no number that can be substituted for both A and C in the equation AC = A, C to make it a true statement.

Here is a more detailed explanation:

If A is equal to zero, then C would also have to be equal to zero. But this would mean that AC = 0, which is not equal to A, C.

If A is any other number, then C would have to be equal to the negative of A. But this would mean that AC = -A, which is not equal to A, C.

Therefore, there is no solution to the equation AC = A, C.

For such more question on undefined:

brainly.com/question/13464119

#SPJ3

Please help me... Brainiest to best answer