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Mathematics 14 Online
OpenStudy (18jonea):

Solve the question below. https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgtPT9McBUI1A.4lfcIf1WQczuX0l_mowc2C/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l1%2015.jpg 400 505 399 506

OpenStudy (18jonea):

@Hero

hero (hero):

1. Use the rule \((f \circ g)(x)= (f(g(x))\) to rewite the expressions.

OpenStudy (18jonea):

im not sure how i would do that

hero (hero):

2. You are given: \(f(x) = 8x - 7\) \(g(x) = 8x + 8\)

hero (hero):

3. \(f(g(x))\) means to do the following: "Replace the \(x\) in \(f(x)\) with \(g(x)\), then simplify. In other words, \(f(x) = 8x + 7\) becomes: \(f(g(x)) = 8(g(x)) + 7\)

hero (hero):

To clarify it better: \(f(\color\red{x}) = 8\color\red{x} + 7\) becomes: \(f(\color\red{g(x)}) = 8(\color\red{g(x)}) + 7\)

hero (hero):

The next step is to replace \(g(x)\) with its algebraic expression, but on the right side only: \(f(\color\red{g(x)}) = 8(\color\red{8x + 8}) + 7\)

hero (hero):

I made another mistake. this is actually supposed to be: \(f(\color\red{g(x)}) = 8(\color\red{8x + 8}) - 7\)

hero (hero):

And then afterwards, we're supposed to finally let \(x = 7\)

hero (hero):

Or rather find \(f(g(7))\)

OpenStudy (18jonea):

so fout would f and g =?

OpenStudy (18jonea):

what

hero (hero):

You have to simplify this expression to find out: 8(8(7) + 8) - 7 Make sure you work "inside" out. It's easier.

OpenStudy (18jonea):

512-7=505

hero (hero):

Congrats.

OpenStudy (18jonea):

thats the answer

OpenStudy (18jonea):

I have 2 more could you help with them

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