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math

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Given that g(x)= 2x+1/5 and f(x)=x+4

Calculate the value of g(-2)
2(-2)+1/5= -3/5
Is this right??

How do i write an expression for gf(x) in the simpliest form??

And how do i find inverse functions such as g`1(x)?

  • math -

    g(x) = 2x+1/5
    Substitute -2 for x.

    g(-2) = 2*-2 + 1/5
    g(-2) = -4 + 1/5
    g(-2) = (-3 4/5) (mixed number)

    To find g(f(x)), substitute f(x) for x in g.

    g(f(x)) = g(x+4)
    g(x+4) = 2(x+4) + 1/5
    g(x+4) = 2x + 8 + 1/5
    g(x+4) = 2x + (8 1/5) (mixed number)

    To find inverse functions, switch the y and x.

    convert g(x) = 2x+1/5 to y = 2x+1/5
    Now switch y and x.
    x = 2y+1/5

    solve for y
    x-1/5 = 2y
    x/2 - 1/10 = y
    g'1(x) = x/2 - 1/10

  • math -

    for the #1 how do u got -3 4/5 if u check good u got -3/5

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