You have two exponential functions. One function has the formula g (x) = 5 ^x. The other function has the formula h (x) = 5^-x. Which option below gives formula for k (x) = (g - h) (x) ?

Question

Mathematics

Silas

20 February, 19:34

You have two exponential functions. One function has the formula g (x) = 5 ^x. The other function has the formula h (x) = 5^-x. Which option below gives formula for k (x) = (g - h) (x) ?

+2

Answers (1)

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Terry Wallace · Answer 1

We are given with two functions here: h (x) is 5^-x and g (x) is 5^x. we are asked in the problem to determine the value of the expression (g-h) (x). In this case, we just have to employ subtraction to the given functions. That is

(g-h) (x) = 5^x - 5^-x

= 5^x - 1/5^x

= (5^2x - 1) / 5^x