Assessment Direction. Write the letter of the correct answer on a separate answer sheet.
1. The following are notations for composite functions EXCEPT,
a. hip(x))
b. f(x) g(x)
C. (
sot) (x)
d. f(g(x))
Find h(3) + d(2) if h(x) = x - 1 and d(x) = 7x + 3
b.5
c. 14
d. 19
3. t(x) = -x2 + 7x + 1 and r(x) = 5x2 - 2 x + 8, find (t - r)(2).
6.-18
2.
C. -13
d. 13
4. f(x) = 4x + 2 and g(x) = 3x - 1, find (f - )(4).
c. 7
5. If g(x) = x - 4 and f(x) = x + 5 Find f(x) = g(x)
a. x2 + x + 20
C. X2 - X - 20
b. x2-x+20
d. x² + x - 20
26
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Step-by-step explanation:

1) Composite functions are function of two or more functions to serve as one function. For example, given d(x) and g(x), we can write both as composite function as d(g(x)). We can call it function of a function. Hence, from the following function, the following options except option B are composite.

d(x)g(x) is the product of the two functions not a composite.

Option B is correct.

b) Given h(x) = x-1 and d(x) = 7x+3

H(3) = 3-1

H(3) = 2

d(2) = 7(2)+3

d(2) = 14+3

d(2) = 17

h(3)+d(2) = 2+17

h(3)+d(2) = 19 (option D)

c) Given t(x) = -x² + 7x + 1 and r(x) = 5x² - 2x + 8, we are to first find the function

t(x)-r(x)

t(x)-r(x) = -x²+7x+1-5x²+2x-8

t(x)-r(x) = -x²-5x²+7x+2x+1-8

t(x)-r(x) = -6x²+9x-7

Substitute x as 2

(t-r)(2) = -6(2)²+9(2)-7

t-r (2) = -6(4)+18-7

(t-r)(2) = -24+11

(t-r)(2) = -13 (option C)

d) If h(x) = 4x + 2 and g(x) = 3x - 1,

h-g = 4x+2-(3x-1)

h-g = 4x+2-3x+1

h-g = 4x-3x+2+1

h-g = x+3

h-g(4) = 4+3

(h-g)(4) = 7

e) If g(x) = x - 4 and h(x) = x + 5, we are to find f(x)h(x)

h(x)g(x) = (x-4)(x+5)

h(x)g(x) = x(x)+5x-4x-20

h(x)g(x) = x²+x-20

Hence the product of h(x) and g(x) is x²+x-20. Option D is correct

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

3 is greater then both of those numbers