Exponential functions

Question

How to solve f(2)=1-4^-x

Answer 1

f(2)=1 - 4^-x; If this is formatted correctly as f(x)= 1- (4^-x), when f(x)= 2

A function usually written as f(x), so when you have f(2) that means plug in 2 wherever you see x.

f(2)= 1 - (4^-2)

One of the rules of exponents is that when you have a negative exponent, it is the same as the reciprocal (flip) of the base with a positive exponent.

f(2)= 1- (1/4²); now we have a positive 2 exponent with base of 4.

f(2)= 1- (1/4*4); exponent of 2 is squaring

f(2)= 1- (1/16); We have a whole number subtracting a fraction so we need common denominator

f(2)= 16/16- (1/16); same denominator, subtract the numerator

f(2)= 15/16

Answer 2

f(2) = 1 - 4^-x

f(2) = 1 - 4^(-2)

f(2) = 1 - (1/4^2)

f(2) = 1 - 1/16

f(2) = 15/16