Question

!!PLEASE HELP ME!!
Which pair of functions are inverses of each other?
A. f( x ) = 6/x − 5 and g ( x ) = x + 5 /6
B. f(x) = 8x – 3 and g ( x ) = x + 3/8
C. f ( x ) = sqr 3 7x and g ( x ) = ( x /7 )3
D. f ( x ) = x /9 + 1 2 g(x) = 9x – 12

Answer 1

B is the correct answer :))

Answer 2

The inverse of the function is f(x) = 8x – 3 and g ( x ) = x + 3/8. The correct option is B.

What is an inverse function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The inverse function of a function f in mathematics is a function that reverses the operation of f. If and only if f is bijective, then the inverse of f exists, and if it exists.

The inverse of the function is given by,

f(x) = 8x – 3 and g ( x ) = x + 3/8

The inverse of the function is calculated by dividing the function by the coefficient of x and reversing the sign of the function.

f(x) = 8x – 3

Divide the function by 8.

f(x) = ( 8x - 3 ) / 8

Reverse the sign of the function.

f(x) = ( 8x + 3 ) / 8

Simplify the function.

f(x) = ( x + 3 / 8 ).

Therefore,  the inverse of the function is f(x) = 8x – 3 and g ( x ) = x + 3/8. The correct option is B.

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