What is the answer to G(x)=sqrt(x^2-81) ?

The answer to G(x)=sqrt(x^2-81) is x=sqrt(-(81)/(G^2-1)) {0<= G<1},x=-sqrt(-(81)/(G^2-1)) {-1<G<= 0}

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G(x)=sqrt(x^2-81)

G (x) = x^{2} - 81

x = - \frac{81}{G ^{2} - 1} {0 \leq G < 1}, x = - - \frac{81}{G ^{2} - 1} {- 1 < G \leq 0}

Solution steps

G (x) = x^{2} - 81

Square both sides:

G^{2} x^{2} = x^{2} - 81

G^{2} x^{2} = x^{2} - 81

Solve

G^{2} x^{2} = x^{2} - 81 : x = - \frac{81}{G ^{2} - 1}, x = - - \frac{81}{G ^{2} - 1}

x = - \frac{81}{G ^{2} - 1}, x = - - \frac{81}{G ^{2} - 1}

Verify Solutions:

x = - \frac{81}{G ^{2} - 1} {0 \leq G < 1}, x = - - \frac{81}{G ^{2} - 1} {- 1 < G \leq 0}

The solutions are

x = - \frac{81}{G ^{2} - 1} {0 \leq G < 1}, x = - - \frac{81}{G ^{2} - 1} {- 1 < G \leq 0}

\frac{x}{10} = 1

y, - y + 30 = y

y + 3 = 2 y - 3

x \cdot x = 11

0 = x - 1 - 2 x - 1

What is the answer to G(x)=sqrt(x^2-81) ?
The answer to G(x)=sqrt(x^2-81) is x=sqrt(-(81)/(G^2-1)) {0<= G<1},x=-sqrt(-(81)/(G^2-1)) {-1<G<= 0}