Answer:
(f + g)(3) = 9
Step-by-step explanation:
Given:
f(x) = x² + 1
g(x) = x - 4
Required:
(f + g)(3)
SOLUTION:
✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:
f(3) = (3)² + 1 = 9 + 1
f(3) = 10
✔️Find g(3) by substituting x = 3 into g(x) = x - 4:
g(3) = 3 - 4
g(3) = -1
✔️Find (f + g)(3):
(f + g)(3) = f(3) + g(3)
= 10 + (-1)
= 10 - 1
{\text{Direction of parabola depends on the sign of quadratic coefficient of a }} \hfill \\
{\text{quadratic equation}}. \hfill \\
{\text{For given quadratic equation}}. \hfill \\
a{x^2} + bx + c = 0 \hfill \\
{\text{The parabola is in the upward direction if }}a{\text{ }} > {\text{ }}0{\text{ and in downward direction if }}a < 0 \hfill \\
{\text{Here, the equation of given parabola is }} \hfill \\
{x^2} - 6x + 8 = y \hfill \\
\Rightarrow y = \left( {{x^2} - 6x + 9} \right) - 9 + 8 \hfill \\
\Rightarrow y = {\left( {x - 3} \right)^2} - 1. \hfill \\
{\text{Thus, the parabola is in the upward direction}} \hfill \\
The prime factorization of 891 is 9^2*11
Divide 891 by 9, 9, and finally, 11. Or use a factorization calculator.
To solve, isolate the x. Cross multiply
3/13(13)(5) = x/5(5)(13)
3(5) = (13)x
Simplify
13x = 15
Isolate the x. Divide by 13.
13x/13 = 15/13
x = 15/13
x = 1.2
1.2 is your answer
hope this helps
BF
BA
AG
