Answer:
3x^2 + 8
Step-by-step explanation:
Given functions,
f(x) = 3x + 8 ----(1)
g(x) = x^2 -----(2)
Since,
(fog)(x) = f( g(x) ) ( Composition of functions )
=f(x^2) ( From equation (2) )
=3x^2 + 8 ( From equation (1) )
Hence,
(fog)(x)=3x^2 + 8
Step-by-step explanation:
Answer:
A discount of 24%
Step-by-step explanation:
100 x 0.8 x 0.95
=76
Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
The answer would be 21,000,000.00
Presuming the question is "Which sum is closest to 1".
First, you need to either convert all the fractions to decimals or all the decimals to fractions, then add each pair.
0.4 + 1/2 = 0.9
7/8 + 1/4 = 1.125
4/5 + 2/3 = 1.466666...
The first one is different from 1 by 0.1. The second is different by 0.125. The third is different by 0.46666.... Therefore, the closest sum is the first, or 0.4 + 1/2
0.4 + 1/2
