Solve the following inequalities, if it is known that the function g is decreasing on its domain. g(5-x^2)≤g(3x-5), Dg=(-∞,4)

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24-04-2022
Mathematics

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Solve the following inequalities, if it is known that the function g is decreasing on its domain. g(5-x^2)≤g(3x-5), Dg=(-∞,4)

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Can you solve (x-2)(x+3) = 5 by solving x - 2 =5 and x + 3 =5? Why or why not?

okpalawalter8 okpalawalter8 · Answer 1 · 2022-04-29T19:39:08+02:00

For the following inequalities, if it is known that the function g is decreasing on its domain. g(5-x^2)≤g(3x-5) the solution is mathematically given as

1 ≤ x < 6

What is the following inequalities g(5-x^2)≤g(3x-5)?

Generally, the equation for the inequalities is mathematically given as

g(5-x^2)≤g(3x-5)

therefore,

x^2<5x+6

-1< x <6

In conclusion, the solution to the inequalities are

1 ≤ x < 6