Which statement must be true?

a
b
c
d

ANSWER



EXPLANATION

The given function is



We need to find the inverse of this function,

Let



We interchange x an y to obtain,



We solve for y now to obtain,



We divide through by m to get,



Hence the inverse function is ,



For this inverse to exist, the denominator must not be equal to zero,

Thus



The correct answer is A.

Option 1 m≠0 is the right option.

Step-by-step explanation:

In this question we will find the inverse function first then we will find the gradient of the inverse function to get the correct answer.

The given function is f(x) = mx + b

Or y = mx + b

Now we will rewrite the equation in the form of x.

y - b = mx + b - b

y - b = mx

Now we can write the inverse function as

Now the gradient of the inverse function is (1/m).Therefor we can easily say that the given function is defined when m≠0 because for m = 0 gradient will be infinity.

Therefore option 1. m≠0 is the right option.

c

Step-by-step explanation: