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If f(x)=1.5^(x)+1, what is the value of f(2) ?

If f(x)=1.5x+1 f(x)=1.5^{x}+1 , what is the value of f(2) f(2) ?

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Full solution

Q. If f(x)=1.5x+1 f(x)=1.5^{x}+1 , what is the value of f(2) f(2) ?
  1. Given function: We are given the function f(x)=1.5x+1f(x) = 1.5^{x} + 1 and we need to find the value of f(2)f(2). To do this, we will substitute xx with 22 in the function.
  2. Substituting xx: Substitute x=2x = 2 into the function f(x)=1.5x+1f(x) = 1.5^{x} + 1.\newlinef(2)=1.52+1f(2) = 1.5^{2} + 1
  3. Calculating 1.521.5^2: Calculate the value of 1.51.5 raised to the power of 22.$1.52=1.5×1.5=2.25\$1.5^{2} = 1.5 \times 1.5 = 2.25\)
  4. Adding 11 to the result: Add 11 to the result from the previous step to find f(2)f(2). \newlinef(2)=2.25+1=3.25f(2) = 2.25 + 1 = 3.25

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