Find each unknown function value or x value for f(x) = 4x - 7 and g(x) = -3x + 5
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Step 1
Find f(2)
[tex]To\text{ do this we substitute for f= 2 in f(x)}[/tex][tex]\begin{gathered} f(x)\text{ = }4x-7 \\ f(2)\text{ = 4(2) -7 = 8 - 7 = 1} \end{gathered}[/tex]Step 2
Find f(0)
[tex]f(0)\text{ = 4(0) -7 = 0 - 7 = -7}[/tex]Step 3
Find f(-3)
[tex]f(-3)\text{ = 4(-3) -7 = -12 -7 = -19}[/tex]Step 4
Find x, when f(x) = -3
[tex]\begin{gathered} f(x)\text{ = -3}--------------(1) \\ f(x)\text{ =4x-7}---------------(2) \\ \text{Equate both equations} \\ -3=4x-7 \\ -3+7\text{ = 4x} \\ 4x\text{ = 4} \\ x\text{ = }\frac{4}{4}=1 \end{gathered}[/tex]