What is the range of f(x)= 1/2 (3)^{x+4}-5 ?

The range of f(x)= 1/2 (3)^{x+4}-5 is f(x)>-5

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range of f(x)= 1/2 (3)^{x+4}-5

range

f (x) = \frac{1}{2} (3)^{x + 4} - 5

f (x) > - 5

Interval Notation

(- 5, \infty)

Solution steps

The range of an exponential function of the form

c \cdot n^{a x + b} + k

f (x) > k

k = - 5

f (x) > - 5

y = \frac{x ^{2} - 9}{2 x ^{2} + 4}

x = 0

(- \frac{4}{7}, \frac{4}{7}), (\frac{8}{5}, \frac{4}{5})

y = - \frac{3}{2} x - 7, (3, - 2)

What is the range of f(x)= 1/2 (3)^{x+4}-5 ?
The range of f(x)= 1/2 (3)^{x+4}-5 is f(x)>-5