Use the function rule f(x)=4x-4x-7. Find each output.
14. f(3)
16. f(-5)
#14. For each x, place a 3.
f(3) = 4*3-4*3-7 = -7
Same way for #16
However, I suspect a typo, since 4x-4x-7 = -7 for any value of x.
To find the output of a given function when a specific input is provided, you need to substitute that input into the function and simplify the expression.
Let's find the output for f(3) using the function rule f(x) = 4x - 4x - 7.
1. Replace every occurrence of x with the input value 3:
f(3) = 4(3) - 4(3) - 7.
2. Simplify the expression:
f(3) = 12 - 12 - 7.
3. Perform the arithmetic operations from left to right:
f(3) = 0 - 7.
4. Finally, compute the subtraction:
f(3) = -7.
Therefore, the output for f(3) is -7.
Now let's find the output for f(-5) using the same function rule.
1. Replace every occurrence of x with the input value -5:
f(-5) = 4(-5) - 4(-5) - 7.
2. Simplify the expression:
f(-5) = -20 + 20 - 7.
3. Perform the arithmetic operations from left to right:
f(-5) = 0 - 7.
4. Finally, compute the subtraction:
f(-5) = -7.
Thus, the output for f(-5) is also -7.