MTH 102 TMA 2019

MTH 102 TMA SOLUTIONS

MTH102:if\(f(x)=2x-4)\and\(g(x)=x^{2}+3)\,findf(g(x))ShowOptions
Answer:(A)\(2x^{2}-2)\
.
MTH102:let\(f(x)=1/x)\,then\(f^{-1}(x))\isgivenasShowOptions
Answer:(B)x
.
MTH102:\(f^{-1}(x)=x-8)\,thenf(x)=?ShowOptions
Answer:(D)X+8

MTH102:Findthedomainandrangeof\(f(x)=4–x^{2})\,leavingyourresultininterval
notationShowOptions
Answer:(A)\left[4,\infty\right],\left[0,\infty\left[4,\infty\right],\left[0,\infty\left[4,\infty
\right],\left[0,\infty
.
MTH102:Determineiffisonetoonefor\(f(x)=x^{2}–5x+1)\whenx=0ShowOptions
Answer:(B)yes
.
MTH102:Findf(-1)fortheequation\(y=2xy^{2}-4x+1)\ShowOptions
Answer:(D)7
.
MTH102:Whichoftheequationbelowdefineyasafunctionofx?ShowOptions
Answer:(C)\(x^{2}+y=1)\
.
MTH102:DivisionbyZerois...ShowOptions
Answer:(D)undefined
.
MTH102:Afunctionissaidtobeonetooneif...ShowOptions
Answer:(B)Toeachvalueofthedependentvariableintherange,therecorrespondsexactlyone
valueoftheindependentvariable
.
MTH102:Let\(f(x)=x^{2}-4x+7)\,find\(\frac{f(x+\Deltax)-f(x)}{\Deltax})\ShowOptions
Answer:(A)\(2x+\Deltax-4)\