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Function Operations | |
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Given the functions: `f(x) = 4x` `g(x) = 3x-4` `h(x) = 24x^2-41x+12` Determine each of the following. Give your answers as simplified expressions written in descending order. | |
Find and simplify `g(x) + h(x)` | `g(x) + h(x) = `
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Find and simplify `h(x) - g(x)` | `h(x) - g(x) =`
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Find and simplify `f(x) * h(x)` | `f(x) * h(x) = `
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Find and simplify `(h(x)) / (g(x))`, hint: you will need to factor h(x) | `(h(x)) /( g(x)) = `
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The domain restriction for `g(x) / f(x)` is | `x ne` |
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`g(x)+h(x) = 24x^2-38x+8`
Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`h(x)-g(x) = 24x^2-44x+16`
Box 3: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`f(x)*h(x) = 96x^3-164x^2+48x`
Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`(h(x))/g(x) = 8x-3`
Box 5: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
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