innocentjunaid586 innocentjunaid586

06-12-2020
Mathematics

contestada

let f(x) =x+5 and g(x)=x^2-3 then f(g(x)) =?

(a)x^2 + 2
(b)x^2 - 2
(c)x^2+1
(d)2x^2 + 2

Respuesta :

absor201 absor201

06-12-2020

Answer:

Option (a) is true.

Step-by-step explanation:

Given the function

[tex]f(x)=x+5[/tex]

[tex]g\left(x\right)=x^2-3[/tex]

(f∘g)(x) = f(g(x)) = f(x²-3) = (x²-3)+5

= x² + 2

Thus,

f(g(x)) = x² + 2

Therefore, option (a) is true.

Answer Link

Otras preguntas

how many faces ,edges, and vertices does a cereal box have

At a parade, 1/4 of the participants have red hair, 1/6 of them have brown hair, and the rest have black hair. What fraction of the participants have black hai

what activity helped spread the plague

Why is it important to accurately report procedures and results from an experiment?

you make a salad to share among 6 friends. your sister eats 1/3 of it before they arrive. how much will each of the 6 friends get?

In a field of ducks and a dog someone counted 25 heads and 80 legs. How many dogs and ducks are there

The top of a desk is 4 feet long and 3 feet wide .Raymond wants to cover the top of the desk with a vinyl sheet .the vinyl she is measured in square inches what

in the 1970s the shah of Iran was?

Why do pilots get accurate readings when they adjust a barometer for the current temperature and humidity?

What roles do political parties play in the American political process? A. Parties help candidates win elections B. Parties work to detect and eliminate bias an