a) correct
b) put (x+1) instead of x in f(x),
f(x+1)=1-2(x+1)=1-2x-2=-2-2x
c) g o f(x) (reads g of f(x))
means
g(f(x))
=g(1-2x)
=(1-2x)²+1
=1-4x+4x²+1
=2-4x+4x²
=2(1-2x+2x²)
d) f-1(x)
the inverse of f(x).
follow the following steps to find the inverse.
1. write f(x)=1-2x as
y=1-2x
2. switch the symbols x and y
x=1-2y
3. solve for y in terms of x to get the inverse.
given f(x) = 1-2x, and g(x) = x^2+1, find:
a) g(-2) ---- i get 5 ?
b) f(x+1)
c) g`f(x) --- there is like a degree symbol circle between g and f..
d) f^-1(x)
1 answer
1 answer