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sladkih [1.3K]
2 years ago
14

G(3)=g, left parenthesis, 3, right parenthesis, equals

Mathematics
1 answer:
Dovator [93]2 years ago
6 0

The inverse function will be g(x) = (x + 3) / 5. Then the value of the function f(5) and g(3) will be 22 and 6/5.

<h3>What is inverse of a function?</h3>

Let the function will be

f: X → Y

Then the inverse function will be

f⁻¹: Y → X

The function is given below.

f(x) = 5x – 3

Then the value of the function f(x) at x = 5, will be

f(5) = 5 × 5 – 3

f(5) = 22

The g(x) is the inverse function of f(x).

Then the function g(x) will be

5g(x) – 3 = x

        g(x) = (x + 3) / 5

Then the value of function g(x) at x = 3, will be

g(3) = (3 + 3) / 5

g(3) = 6 / 5

The complete question is given below.

The function f(x) = 5x – 3. And the function g(x) is the inverse of f(x). Find the value of the function f(5) and g(3).

Learn more about inverse function here:

brainly.com/question/19425567

#SPJ1

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