All categories

3 years ago

Help me pleaseeeeeeeee

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

4 0

Answer:

(f o g)(x) = 4x^4 - 24x^2 + 37

(g o f)(x) = 16x^4 + 8x^2 - 2

Step-by-step explanation:

f(x) = 4x^2 + 1

g(x) = x^2 - 3

(f o g)(x) = f(g(x)) = f(x^2 - 3) = 4(x^2 - 3)^2 + 1 =

= 4(x^4 - 6x^2 + 9) + 1

= 4x^4 - 24x^2 + 37

(g o f)(x) = g(f(x)) = g(4x^2 + 1) = (4x^2 + 1)^2 - 3 =

= 16x^4 + 8x^2 - 2

You might be interested in

The triangle shown below has an area of 20 units. Find the missing side.

svlad2 [7]

Yea there should be a picture to go with it so we can answer ur question

3 0

3 years ago

WILL AWARD BRAINLIEST Given: AC = AR Z1 Z2 Prove: 23 = 24

Sveta_85 [38]

Answer:

Step-by-step explanation:

∠1 = ∠2 {given}

AC = RD {given}

∠CAT = ∠ RAD {vertically opposite angles}

ΔCAT ≅ ΔRAD {ASA - Angle Side Angle Congruent}

∠ 3 ≅ ∠ 4 {Corresponding part of congruent triangle}

5 0

3 years ago

If f(x)= x^1/2 - x and g(x)= 2x^3 - x^1/2 - x, find f(x) - g(x)

Pavlova-9 [17]

Answer:

$-2x^3+2x^{1/2}$

Step-by-step explanation:

First, you have to substitute both functions into the equation to get:

$f(x)-g(x) = (x^{1/2}-x) - (2x^3-x^{1/2}-x)$

Then, you distribute the negative sign in front of g(x) to get:

$= x^{1/2} - x -2x^3+x^{1/2}+x$

And finally, you add/subtract the x's that have the same power to get:

$=-2x^3+2x^{1/2}$

3 0

3 years ago

Solve for x: 5x+6+2x-1= 10x+3

ladessa [460]

5x + 6 + 2x - 1 = 10x + 3
5x + 2x + 6 - 1 = 10x + 3
   7x + 5 = 10x + 3
   - 7x - 7x
   5 = 3x + 3
   - 3    - 3
   2 = 3x
   3    3
      ²/₃ = x

7 0

3 years ago

Express 0.74 as a percentage

Firlakuza [10]

Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

6 0

3 years ago

Read 2 more answers