SOLUTION: Given f(x)=2^x ... show that f(x+3)-f(x-1) = 15/2 f(x)

SOLUTION: Given f(x)=2^x ... show that f(x+3)-f(x-1) = 15/2 f(x)

Algebra.Com

Question 1041901: Given f(x)=2^x ... show that f(x+3)-f(x-1) = 15/2 f(x)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Rules for Exponents gives

Distributive Property, in reverse gives

Substitute the given function def.
-------Result to be proved, DONE.
RELATED QUESTIONS
If f(x)= x+ 1/x, show that f(x).f(x+1/x)=f(x^2)+3 Thanks!!... (answered by tommyt3rd)

Find f(x) given that f'(x) = x^3 − 2√x, f(1) =... (answered by KMST)

Given f(x)=-x^3-x^2-3x+1 f(-1), f(0),... (answered by scianci,jim_thompson5910)

given f(x)=(1/2)*2^x, find... (answered by tommyt3rd)

Graph f(x)=x^2 and show f(1), f(2),... (answered by stanbon)

given f(x) = [x-2] and g(x)=3/x^+2, find... (answered by Lightning_Fast)

f(x)=1/1-x find: 1.f'(x) 2.f"(x)... (answered by ewatrrr)

f(0)=-2, f(x)=f(x-1)+3 (answered by Fombitz)

use the composition of functions to show that f^-1 is as given. f(x)=1/2x-3,... (answered by josgarithmetic)