Question

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

Answer 1

The trick is to go from the inside out.

If \( f(x)=-4x+7\), then:

\[f(5) =-4(5)+7\\
f(t)=-4t+7\\
f(y)=-4y+7\\
f(x+5)=-4(x+1)+7\\
f(g(x))=-4(g(x))+7\]

Do you see the logic? The thing inside \(f(.)\) is is just replaced in the expression wherever you see the variable \(x\)

Answer 2

sorry the 4th line should read
\(f(x+5)=-4(x+5)+7\)

Answer 3

OH , okay thank you :)

Answer 4

:)