What is the inverse of f(x)=(5+x^2)/4 ?

The inverse of f(x)=(5+x^2)/4 is sqrt(4x-5),-sqrt(4x-5)

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inverse of f(x)=(5+x^2)/4

inverse

f (x) = \frac{5 + x ^{2}}{4}

4 x - 5, - 4 x - 5

Solution steps

y = \frac{5 + x ^{2}}{4}

Replace

x

with

y

x = \frac{5 + y ^{2}}{4}

Solve for

y, x = \frac{5 + y ^{2}}{4}

4 x - 5, - 4 x - 5

f (x) = 48 x^{2} - 36

f (x) = 4 (9)^{2} + 5

\frac{12}{x ^{2} - 25} - 3

(3 x + 1)^{2}

f (x) = 2 + lo g_{e} (x + 3)

What is the inverse of f(x)=(5+x^2)/4 ?
The inverse of f(x)=(5+x^2)/4 is sqrt(4x-5),-sqrt(4x-5)