Evaluate (if possible) the function at the specified value(s) of the independent variable and simplify results

1. f(x)=square root ( x+3 ) evaluate for f( x+ Δx)

2. f(x)= { 2x + 1, x<0 f(x)= { 2x + 2, x >or equal to 0, evaluate for f( 2 ) and f( t^2 + 1)

please help me or at least can u explain in detail how 2 do these problems. It is for summer homework, I am allowed to use the interent as a resource and help would be very much appreiacted. Thanks

Top 1 Answers

A few days ago

MsMath

Favorite Answer

1) f(x+ Δx) means wherever you see an x replace it with “x+ Δx”

f( x+ Δx) = sqrt(x+ Δx+3)

This cannot be simplified.

2) f(2)

2 > 0, so plug it into the part where x >= 0

2x+2 = 2(2)+2 = 4+2 = 6

f(t^2 +1)

t^2 + 1 >= 0 for all values of t, so plug it into the part where x >= 0

2x+2 = 2(t^2 +1)+2 = 2t^2 + 2 + 2 = 2t^2 + 4

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Evaluate (if possible) the function at the specified value(s) of the independent variable and simplify results

Evaluate (if possible) the function at the specified value(s) of the independent variable and simplify results

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