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Margaret [11]
3 years ago
5

Please help! It's due soon.

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer:

Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.

Step-by-step explanation:

f(g(x)) = f(\frac{1}{4}\sqrt{x}) = 16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x

g(f(x)) = g (16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x

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Find the values of a and b such that
Varvara68 [4.7K]

Answer:

a = 1.5

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Step-by-step explanation:

First, we need to solve (x+a)^2 and replace the result in the initial equation as:

x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b

Then, this equality apply only if the coefficient of x is equal in both sides and the constant is equal in both sides.

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Finally, replacing the value of a in the second equation and solving for b, we get:

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