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

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.