All categories

2 years ago

Let f(x) = x2 - 5 and g(x) = 3x2. Find g(f(x))

Mathematics

1 answer:

m_a_m_a [10]2 years ago

3 0

Answer:

Step-by-step explanation:

to find composite function:

put the inner funtion into the outer function

inner func.= $x^2-5$

outer= $3x^2$

hence,

$g(f(x))= 3(x^2-5)^2$

You might be interested in

Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.

denpristay [2]

Answer:

$f(n) = 5 + f(n - 1)$

Step-by-step explanation:

Given

$f(n) = 5n - 2$

Required

Write a recursive expression

$f(n) = 5n - 2$

When n = 1

$f(1) = 5 * 1 - 2 = 5 - 2 = 3$

$f(1) = 3$

When n = 2

$f(2) = 5 * 2 - 2 = 10 - 2 = 8$

$f(2) = 8$ can be rewritten as

$f(2) = 5 + 3$

Substitute 3 for f(1)

$f(2) = 5 + f(1)$

Express 1 as 2 - 1

$f(2) = 5 + f(2-1)$ ----- (1)

When n = 3

$f(3) = 5 * 3 - 2 = 15 - 2 = 13$

$f(3) = 13$ can be rewritten as

$f(3) = 5 + 8$

Substitute 8 for f(2)

$f(3) = 5 + f(2)$

Express 2 as 3 - 1

$f(3) = 5 + f(3 - 1)$ ------ (2)

Write out (1) and (2)

$f(2) = 5 + f(2-1)$

$f(3) = 5 + f(3 - 1)$

Replace 2 and 3 with n in both cases; This gives

$f(n) = 5 + f(n - 1)$

Hence;

The recursive is $f(n) = 5 + f(n - 1)$

7 0

3 years ago

PLEASE HELP !

scZoUnD [109]

It will be 33/74
77-41 = 33 and 33/74 is the correct fraction for the cars that are NOT boxcars

5 0

3 years ago

If the flea starts at 1 and jumps 4 units to the left, where does it ends up? How far away from 0 is this?

Anettt [7]

Answer:23

Step-by-step explanation:

6 0

2 years ago

What formula can I write?

defon

Answer:

Arithmetic sequence

f(n) = 5n + 2

Step-by-step explanation:

f(1) = 7

f(2) = 7 + 5

f(3) = 7 + 5 + 5 = 7 + (2)(5)

f(n) = 7 + (n-1)(5)

f(n) = 7 + 5n - 5

f(n) = 5n + 2

6 0

3 years ago

What is the perimeter of the basement floor?

elena55 [62]

All you do is add up the sides of the walls, and you get your answer.

<3.

OG.

8 0

2 years ago

Read 2 more answers