If f(x) = 3x + 1 and g(x) = x^2 + 2x, find x when f(g(x)) = 10

Discussion in 'Calculator Requests' started by math_celebrity, Jan 8, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If f(x) = 3x + 1 and g(x) = x^2 + 2x, find x when f(g(x)) = 10

    Evaluate f(g(x))
    f(g(x)) = 3(x^2 + 2x) + 1
    f(g(x)) = 3x^2 + 6x + 1

    When f(g(x)) = 10, we have
    10 = 3x^2 + 6x + 1

    Subtract 10 from each side:
    3x^2 + 6x - 9 = 0

    Divide each side of the equation by 3
    x^2 + 2x - 3 = 0

    Factor, we have: (x + 3)(x - 1) = 0
    So x is either 1 or -3


Share This Page


Related pages


distance midpoint calculatorremainder theorem solverhow to write domain in interval notationnewtons calculatortb periodic tableaub mathsimplifying expressions calculatoralgebra calculator fractionscramer rule calculatorsubstitution calculator algebrafifo method formulaprimitive root of a prime numberheads or tails probabilitymultiplying trinomials worksheetmonomial binomial trinomial calculatorsine wave calculatorlattice for multiplicationmean median mode and standard deviation calculatormarkup calculator formulagraphing rational functions calculator onlinecalculator with cos sin tanwhat is the average iq score for adultshow to multiply and divide monomialsadding polynomials fractions1piadditive property of equality with fractions and mixed numbers calculatorrational zero finderwhat is the vertex and axis of symmetrycos on a calculatorcribbage scoreleast common denominator chart20 gallons to literscollatz problemcot degreeag on periodic tablesimplifying fractions calculator algebragcf story problemsfactoring cubed roots formulahow to convert kl to literspolynomial greatest common factor calculatormath binomiallogarithm lesson planconvert micrometer to inchesfind inverse function calculator onlinemoorse code translator97 celsius to fahrenheitpercent problems calculatorwhat is cot in trigcomparing decimals calculatorword problem solver calculator onlinegcf of 63solve fractional equations calculatorgreatest common factor finderfocus of a parabola calculatorrationalize the denominator with radicals calculatorperimeter of a hexagon calculatoralgebra step by step solverlinear expression calculatorfornights in a yearupper and lower bounds calculatornormal approximation for binomial distributiontablespoons in a gallonpercent fraction calculatoraverage iq for an adulthow to find where two lines intersectsubstitution in algebra 2what is the perimeter of parallelogram abcdconvert polar to rectangular coordinateslength of transverse axis of hyperbolaconvert percents to decimals calculatorfoil for math256 in roman numeralsradicals fractionscenter radius form of a circlemultiples of 252absolute value equation solver with stepstwo variable equations calculatorhow to convert to logarithmic form