Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
Check the attached file for the answer.
The answer is -7! hope this helps
Polynomials are equations that uses variables and several terms
The polynomial in standard form is f(x) = x^2 - x -20
<h3>How to determine the polynomial</h3>
The polynomial has 2 zeros.
So, the form of the polynomial is:
f(x) = a(x - x1)(x - x2)
The zeros of the polynomial are 5 and -4.
So, the equation becomes
f(x) = a(x - 5)(x + 4)
The value of a = 1.
So, we have;
f(x) = 1(x - 5)(x + 4)
This gives
f(x) = (x - 5)(x + 4)
Expand
f(x) = x^2 - x -20
Hence, the polynomial in standard form is f(x) = x^2 - x -20
Read more about polynomials at:
brainly.com/question/2833285
