g=(1/3)× in the form of g-¹

Mathematics

ScanSolve AI Answer

Answer

g−1(x)=3xg^{-1}(x) = 3x

Step-by-step solution

4 steps

  1. The given equation is g=13xg = \frac{1}{3}x.

  2. To find the inverse function, g−1g^{-1}, we need to solve for xx in terms of gg.

  3. Multiply both sides of the equation by 3

    3g=3×13x3g = 3 \times \frac{1}{3}x 3g=x3g = x

  4. Replace xx with g−1(g)g^{-1}(g) and gg with xx to express the inverse function in terms of xx

    g−1(g)=3gg^{-1}(g) = 3g g−1(x)=3xg^{-1}(x) = 3x

    The inverse function is g−1(x)=3xg^{-1}(x) = 3x.

    g^{-1}(x) = 3x

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QCalculate the value of g in the figure below.QGiven the following conditions: g(x) = 1 / (x − 1), x < 1; 3x2 + 1, x >= 1 . g(3) when evaluated…QGiven f(x) = (2x+1)/(3x+3) and g(x) = 3x+2. Find g(f(x)) and the invariant elements of g(x).QDerive the dimension of the Universal Gravitational Constant (G).QF: x 2x+3 and g: x x−1. Find F(2), g⁻¹(x), fg(x).
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.