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Given the function 
f(x)=-(3)/(4)x+1, find the value of 
f(2) in simplest form.
Answer:

Given the function f(x)=34x+1 f(x)=-\frac{3}{4} x+1 , find the value of f(2) f(2) in simplest form.\newlineAnswer:

Full solution

Q. Given the function f(x)=34x+1 f(x)=-\frac{3}{4} x+1 , find the value of f(2) f(2) in simplest form.\newlineAnswer:
  1. Identify Function and Value: Identify the function and the value to substitute.\newlineWe are given the function f(x)=(34)x+1f(x) = -(\frac{3}{4})x + 1 and we need to find the value of f(2)f(2).
  2. Substitute xx with 22: Substitute xx with 22 in the function.f(2)=(34)(2)+1f(2) = -\left(\frac{3}{4}\right)(2) + 1
  3. Multiply and Calculate: Multiply (34)(\frac{3}{4}) by 22.34×2=32\frac{3}{4} \times 2 = \frac{3}{2}
  4. Apply Negative Sign: Apply the negative sign to the result from Step 33.\newline32=1.5- \frac{3}{2} = -1.5
  5. Add 11 to Result: Add 11 to the result from Step 44.\newline1.5+1=0.5-1.5 + 1 = -0.5

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