If (f+g)(x)=3^2+2x-1 and g(x)=2x-2 what is f(x)
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Answer:
Step-by-step explanation:
They are not.
For the <em>g[f(x)]</em> function, you substitute ³/ₓ ₋ ₁ from the <em>f</em><em>(</em><em>x</em><em>)</em><em> </em>function in for <em>x</em><em> </em>in the <em>g</em><em>(</em><em>x</em><em>)</em><em> </em>function to get this:
Then, you bring <em>x</em><em> </em><em>-</em><em> </em><em>1</em><em> </em>to the top while changing the expression to its conjugate [same expressions with opposite symbols]:
You could also do this [attaching another negative would make that positive].
For the <em>f[g(x)]</em> function, ²/ₓ from the <em>g(x)</em> function for <em>x</em><em> </em>in the <em>f(x)</em> function to get this:
Now, if you look closely, ²/ₓ is written as 2x⁻¹, and according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:
When this happens, <em>x</em><em> </em>leaves the <em>two</em> and gets attached to the <em>three</em><em>,</em><em> </em>and 1 gets an <em>x</em><em> </em>attached to it.
I am joyous to assist you anytime.
The first step to solving this is to write the number in exponential form
2
= 
since the bases are the same,, set the exponents equal to one another
-IxI = 7
now change the signs on both sides of the equations
IxI = -7
this equation is false for any value of x because the absolute value function needs to always be positive or 0,, which is not the case for this expression
x ∈ ∅
this means that the answer to your question is x ∈ ∅
let me know if you have any further questions
:)
2
since the bases are the same,, set the exponents equal to one another
-IxI = 7
now change the signs on both sides of the equations
IxI = -7
this equation is false for any value of x because the absolute value function needs to always be positive or 0,, which is not the case for this expression
x ∈ ∅
this means that the answer to your question is x ∈ ∅
let me know if you have any further questions
:)