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3 years ago

If f(x)=5x-25 and g(x) = 1/5x+5 which expression could be used to verify g(×) is the inverse of f(×)

Mathematics

2 answers:

Simora [160]3 years ago

8 0

Answer:

Hence, g(x) is inverse of f(x)

Step-by-step explanation:

The provided function are f(x)=5x-25 and $g(x)=\frac{1}{5}x+5$

To check g(x) is the inverse of f(x)

Plug the formula for g(x) into every instance of "x" in the formula for f (x):

(fog)(x) = f(g(x))

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

= x+25-25

= x

Now, plug the formula for f (x) into every instance of "x" in the formula for g(x) :

(gof)(x) = g(f(x))

= $\frac{1}{5}x+5$

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

= x - 5 + 5

= x

Both ways we get "x"

So, both functions are inverse of each other.

Hence, g(x) is inverse of f(x) .

Gelneren [198K]3 years ago

4 0

Answer:

The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5

Step-by-step explanation:

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Step-by-step explanation:

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