Using the functions defined below, determine the indicated values. f(x) = 3 − 12x; g(x) = x2 − x + 5 (a) g(−2) (b) f(3)

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Using the functions defined below, determine the indicatedvalues. f(x) = 3 − 12x; g(x) = x2 − x + 5 (a) g(−2) (b) f(3) −g(−2) (c) g(3) · f(2) 2. [–/3 Points] DETAILS 0/6 Submissions UsedMY NOTES The graph of the function H(x) is shown below. Use thegraph to answer the following. (a) What is the domain of H(x)?(Enter the domain using interval notation.) (b) Determine H(0).H(0) = (c) Determine the value of x so that H(x) = −3 x = 3. [–/3Points] DETAILS 0/6 Submissions Used MY NOTES Using the piecewisefunction defined below, determine the indicated function values.g(x) = 3 − 2x , if x < −3 3x2 + x, if −3 ≤ x < 0 |x − 3|, if0 ≤ x (a) g(−2) = (b) g(−6.5) = (c) g(0) = 4. [–/4 Points] DETAILS0/6 Submissions Used MY NOTES Compute the following for thefunction defined below. Simplify your answers. Note: Use lowercaseletters in your answers. f(x) = 3x2 − 4x + 7 (a) f(a) = (b) f(a+h)= (c) f(a+h) − f(a) = (d) f(a + h) − f(a) h =