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29 July, 16:50

If f (x) = 4x - 3 and g (x) = 8x + 2, find each function value

a. f[g (3) ]

b. g[f (5) ]

c. g{f[g (-4) ]}

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Answers (1)
  1. 29 July, 17:09
    0
    f[g (3) ] = 100

    g[f (5) ] = 138

    g{f[g (-4) ]} = - 982

    Step-by-step explanation:

    f (x) = 4x - 3

    g (x) = 8x + 2

    a. f[g (3) ]

    First find g (3) by putting x = 3 in g (x) function

    g (3) = 8 (3) + 2 = 24 + 2 = 26

    now put this g (3) = 26 as x in f (x)

    f (g (3)) = f (26) = 4 (26) - 4 = 104 - 4 = 100

    b. g[f (5) ]

    First lets find f (5)

    f (x) = 4x - 3

    put x = 5 above

    f (5) = 4 (5) - 3 = 20 - 3 = 17

    put this f (5) = 17 as x in g (x)

    g (f (5)) = g (17) = 8 (17) + 2 = 138

    c. g{f[g (-4) ]}

    First lets solve the inner most function

    g (-4) = 8 (-4) + 2 = - 30

    put g (-4) = - 30 in f (x) to find f (g (-4))

    f (g (-4)) = f (-30) = 4 (-30) - 3 = - 123

    put f (g (-4)) = - 123 as x in g (x) to find our complete result

    g{f[g (-4) ]} = g (-123) = 8 (-123) + 2 = - 982
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