X^2 = 12^2 + 10^2
x^2 = 144 + 100
x^2 = 244
x = sqrt(244)
x = 15.62
The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
brainly.com/question/10687170
Answer:
Step-by-step explanation:
Answer:
x>1 and y>1
Step-by-step explanation:
x+y>2....... (i)
2x-y>1...... (ii)
Adding equations (i) and (ii),
x+y+2x-y>2+1
3x>3
x>3/3
x>1.
Putting the value of x in equation (i),
1+y>2
y>2-1
y>1.
