1) Function B: x -> /5 -> +1 = y find the inverse function of Function B

2) find an expression for m in terms of p.

Suppose f and g are two functions such that

1. (g ◦ f)(x) = x for all x in the domain of f and

2. (f ◦ g)(x) = x for all x in the domain of g

then f and g are said to be inverses of each other. The functions f and g are said to be

invertible.

. Properties of Inverse Functions: Suppose f and g are inverse functions.

• The rangea of f is the domain of g and the domain of f is the range of g

• f(a) = b if and only if g(b) = a

• (a, b) is on the graph of f if and only if (b, a) is on the graph of g

Step-by-step explanation:

5x-35

Step-by-step explanation:

f(x)=5x+7

y=5x+7

x=5y+7

x-7=5y

5x-35=y

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: