An algebra problem by jonathan dapadap

Algebra Level 2

g ( x ) = 4 x − 2 f ( g ( x ) ) = 4 − 6 x g(x)=4x-2 \\ f(g(x)) = 4-6x

Consider the above functions, evaluate f ( 4 ) f(4) .

-10 -5 -4 0 5

Jonathan Dapadap by jonathan dapadap , 22, Philippines

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1 solution

Ahmed Obaiedallah
Oct 10, 2015

f(4) means g(x)=4, sub. in g(x) equation \text{f(4) means g(x)=4, sub. in g(x) equation} g ( x ) = 4 = 4 x − 2 g(x)=4=4x-2 x = 3 2 x=\frac32 sub in f(g(x)) \text{sub in f(g(x))} f ( g ( 3 2 ) ) = f ( 4 ) = 4 − 6 × 3 2 = 4 − 9 = − 5 f(g(\frac32))=f(4)=4-6\times\frac32=4-9=-5

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