Which ordered pair is a solution of the equation y = x - 2
a. (3,1)
b. (1,3)
c. (-1,3)
d. (3, -1)?

Option (a) is correct.

(3, 1)  is the ordered pair that is the solution of the equation y = x - 2

Step-by-step explanation:

Given : equation y = x - 2

We have to find the ordered pair that is the solution of the equation y = x - 2

We will check each option one by one and see which satisfies the given equation.

Consider equation y = x - 2

a)  (3, 1)

Put x = 3 and y = 1

LHS = 3 - 2 = 1 = y

b) (1, 3)

Put x = 1 and y = 3

 LHS = 1 - 2 = -1 ≠ y

c) (-1, 3)

Put x = -1 and y = 3

 LHS = -1 - 2 = -3 ≠ y

d) (3, -1)

Put x = 3 and y = -1

 LHS = 3 - 2 = -3 ≠ y

Therefore, only (a) is correct.

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step-by-step explanation:

asnwer is (g o h o f)(x) = 2x - 6/x + 7

step-by-step explanation:

given,

f(x) = x - 3/x

g(x) = x + 3

h(x) = 2x + 1

we need to find : (g o h o f)(x)

we can write (g o h o f)(x) = g[ h{ f(x) } ]

so first we find h{f(x)}

h{f(x)} = f(x) + 3 = (x - 3/x) + 3

h{f(x)} = x - 3/x + 3

now we find g[ h{ f(x) } ].

g[ h{ f(x) } ] = g(x - 3/x + 3)       {plug h{f(x)} = x - 3/x + 3 in g[h{f(x)}] }

g(x - 3/x + 3) = 2 (x - 3/x + 3) + 1

                    = 2x - 6/x + 6 + 1

                    = 2x - 6/x + 7

hence we get (g o h o f)(x) = 2x - 6/x + 7