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Question Number 91521 by jagoll last updated on 01/May/20

$$giventhatthe$$$$composite$$$$function{f}^2\left(x\right)=64x+45$$$$findf\left(x\right)$$

Commented by jagoll last updated on 01/May/20

$$yes.thankyou$$

Commented by john santu last updated on 01/May/20

$$howtodistinguishforms$$$$f^2\left(x\right)with{\left(f\left(x\right)\right)}^2?$$

Commented by Prithwish Sen 1 last updated on 01/May/20

$$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ax}+\mathrm{b}$$$$\mathrm{f}\left\{\mathrm{f}\left(\mathrm{x}\right)\right\}={\mathrm{a}}^2\mathrm{x}+(\mathrm{ab}+\mathrm{b})$$$$\mathrm{compairing}\mathrm{a}=\pm 8,\mathrm{b}=5,-\frac{45}{7}$$$$\therefore \mathbf{f}\left(\mathbf{x}\right)=8\mathbf{x}+5\mathbf{or}-8\mathbf{x}-\frac{45}{7}\mathbf{please}\mathbf{check}.$$

Commented by Prithwish Sen 1 last updated on 01/May/20

$$\mathrm{composite}\mathrm{function}\mathrm{of}\mathrm{f}=\mathrm{f}\circ \mathrm{f}=\mathrm{f}\left\{\mathrm{f}\left(\mathrm{x}\right)\right\}$$$$\mathrm{which}\mathrm{sometimes}\mathrm{denote}\mathrm{as}{\mathrm{f}}^2$$

Commented by john santu last updated on 01/May/20

$$o..thankyou.inmycountry$$$$if{f}^2\left(x\right)={\left(f\left(x\right)\right)}^2\Rightarrow similarto$$$$\sin {}^2\left(x\right)={\left(\sin \left(x\right)\right)}^2$$$$ifcompositefunctionf\left(f\left(x\right)\right)$$

Commented by Prithwish Sen 1 last updated on 01/May/20

$$\mathrm{where}\mathrm{are}\mathrm{you}\mathrm{from}\mathrm{Sir}?$$

Commented by Joel578 last updated on 01/May/20

$$indonesia?$$

Commented by mathmax by abdo last updated on 01/May/20

$$f\left(f\right)isnotedfofand{f}^2=f\times f$$

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