Mathematics: If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?

If f (x) = 5 x minus 25 and g (x) = one-fifth - id52555199210, tessalopezgarcia2345

jocelynn2379

19.01.2022

f(g(x))=x

Step-by-step explanation:

Given a certain function f(x) , and then its inverse function $f^{-1}(x)$ , the following expression is valid:

$(f\cdot f^{-1})(x)=x$

where the expression

$(f\cdot f^{-1})(x)=f(f^{-1}(x))$

indicates the composite function.

In this problem, we have:

f(x)=5x-25

And then, its inverse function is

$g(x)=\frac{1}{5}x+5$

To verify that g(x) is the inverse of f(x), the following expression must be true:

f(g(x))=x

Substituting the expression of g(x) into f(x), we find that:

$f(g(x))=5g(x)-25=5(\frac{1}{5}x+5)-25=x+25-25=x$

So, g(x) is the inverse of f(x).

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mirandac9394

29.04.2021

x=67

y=113

z=50

Step-by-step explanation:

x=180-28-85=67

y=180-67=113

z=17+113=50

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