Question

If f(x) = (x-5)/8 and g(x)= 8x +5 2 points
Find g[f(x)]=_​

Answer 1

Answer:

g[f(x)]= x + 47

Step-by-step explanation:

substitute f(x) for x in g(x) equation, cancel 8 and then you get x-5+52, hence

g[f(x)]= x + 47

Answer 2

If f(x) = (x - 5)/8 and g(x) = 8x + 5 then g[f(x)] = x

Given :

f(x) = (x - 5)/8 and g(x) = 8x + 5

To find :

The function g[f(x)]

Solution :

Step 1 of 2 :

Write down the given functions

Here it is given that

$\displaystyle \sf{f(x) = \frac{(x - 5)}{8} \: , \: g(x) = 8x + 5}$

Step 2 of 2 :

Find the function g[f(x)]

$\displaystyle \sf{ g[f(x)] }$

$\displaystyle \sf{ = g\bigg( \frac{x - 5}{8} \bigg)}$

$\displaystyle \sf{ = 8\bigg( \frac{x - 5}{8} \bigg) + 5}$

$\displaystyle \sf{ = x - 5 + 5}$

$\displaystyle \sf{ = x }$

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