SOLUTION: Given f(x) = 2x+3 and g(x) = 4-5x, determine the value of x for which f(2x) = g(1-x).

Algebra ->  Functions -> SOLUTION: Given f(x) = 2x+3 and g(x) = 4-5x, determine the value of x for which f(2x) = g(1-x).      Log On


   

Question 1179406: Given f(x) = 2x+3 and g(x) = 4-5x, determine the value of x for which f(2x) = g(1-x).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given
f%28x%29+=+2x%2B3+
g%28x%29+=+4-5x
determine the value of x for which f%282x%29+=+g%281-x%29
f%282x%29+=+2%2A2x%2B3+
f%282x%29+=+4x%2B3+
g%281-x%29+=+4-5%281-x%29
g%281-x%29+=+4-5%2B5x
g%281-x%29+=+-1%2B5x
equal them
4x%2B3+=+-1%2B5x...........solve for x
1%2B3+=+-4x%2B5x
x=4
check:
f%282x%29=+4%2A4%2B3+=19
g%281-x%29+=+-1%2B5%2A4=19