The resulting composite function (f∘f)(x) is x⁴+2x²+2
When a function is written inside another function, it is known as a composite function
Given the function f(x)=x²+1,
(f∘f)(x) = f(f(x))
f(f(x)) = f(x²+1)
This means we will need to replace x with x²+1 in f(x) as shown:
f(x²+1) = (x²+1)²+1
Expand
f(x²+1) = x⁴+2x²+1+1
f(x²+1) = x⁴+2x²+2
Hence the resulting composite function (f∘f)(x) is x⁴+2x²+2
Learn more here: brainly.com/question/3256461
Answer:
m + n = 15
m - 3 = n
The numbers are 9 and 6
Step-by-step explanation:
From the question,
The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that
m + n = 15 ..... (1)
Also, from the question,
One number is three less than the other,
Also, to translate to a system of equations, we can write that
m - 3 = n ...... (2)
If desired, we can determine m and n
From equation (1)
m + n = 15
Then,
m = 15 - n ...... (3)
Put the value of m in equation (3) into equation (2)
m - 3 = n
Then
15 - n - 3 = n
15 - 3 = n + n
12 = 2n
n = 12/2
∴ n = 6
For m, put the value of n into equation 3
m = 15 - n
m = 15 - 6
m = 9
∴ m = 9 and n = 6
Hence, the numbers are 9 and 6
The first one is FALSE
The second one is TRUE
Third one is FALSE.
Answer:
A (1×10)+(4×1)+(7×1/10)+(2×1/1,000)
Step-by-step explanation:
In the expanded form, the number is shown as a sum in which each digit is multiplied by its place value.
The decimal fraction digits are in the tenths place (1/10) and the thousandths place (1/1000).
(1×10)+(4×1)+(7×1/10)+(2×1/1,000)
A. 3/5 of the class are girls.
B. 96 of the pupils are boys.
A. To find this answer you subtract 2 from 5 to get 3 (numerator or top of fraction) then use 5 as the denominator or bottom of the fraction.
B. To find this answer, you divide 240 by 5, to show how many pupils are in 1/5 of the class (48). Then multiply 48 by 2, to get the 2/5 of the pupils who are boys (96).
I hope this helps!
