Maggie claims that the function g(x) = - 4 is the inverse of the function of f(0) = 3a + 4. Which statement provides a correct analysis of Maggie's claim?
Maggie's claim is correct because if you add 4 to g(x) and then multiply it by 3 you get
f(x)
Maggie's claim is correct because when g(x) is substituted into every occurrence of x
O in f(x), f(g(x)) = x, and when f(x) is substituted into every occurrence of x in g(x),
g(f(x)) = x
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of
O x in f(x). ; therefore, g(x) is not the inverse of f(x), f(g(x))=x-8; therefore, g(x) is not the
inverse of f(x)
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of
x in f(x), f(g(x)) = x; therefore, g(x) is not the inverse of f(x).

The inverse of a function reverses the operation of a function

The statement that provides the correct analysis of Maggie's claim is the following option;

Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)

Question: The functions in the question are presented as follows;

f(x) = 3·x + 4

Required:

The statement that provides a correct analysis of Maggie's claim

Solution:

The inverse of f(x) is found as follows;

y = 3·x + 4

Therefore;

The inverse of a function above was found by making x the subject of the

function f(x), therefore, when the inverse f⁻¹(x) is substituted into all

occurrence of x in f(x), we get x

However, when g(x) is substituted into every occurrence of x in g(x), we get;

Therefore, the given function g(x) is not the inverse of the function f(x) and the correct option is as follows;

Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)

Learn more about inverse of a function here:

link

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)