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Question Number 13812 by Tinkutara last updated on 23/May/17

$$\mathrm{The}\mathrm{domain}\mathrm{of}f\left(x\right)=$$$$\sqrt{{\left(\frac{4}{3}\right)}^{4-x}-{\left(\frac{27}{64}\right)}^{x-5}};\mathrm{is}?$$

Answered by ajfour last updated on 23/May/17

$${\left(\frac{4}{3}\right)}^{4-x}⩾{\left(\frac{4}{3}\right)}^{15-3x}$$$$\Rightarrow 4-x⩾15-3x$$$$or,x⩾\frac{11}{2}.$$

Commented by Tinkutara last updated on 23/May/17

$$\mathrm{Thanks}!$$

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