webwork.math.ttu.edu/webw.. 57 Yes, they are equal Yes, they are equal f is not

Question

webwork.math.ttu.edu/webw.. 57 Yes, they are equal Yes, they are equal f is not a linear transformation f is not a linear transformation At least one of the answers above is NOT correct. (1 point) Letf : R R be defined byf(x) = 3x. Isf a linear transformation? a. f(x + y) = 3x+3y f(x) + f(y) = 3x Does f(x + y) = f(x) +f(y) for all x, y E R? Yes, they are equali b. flex)= 30 c(f(x)) = c Does/(cx) = c(f(x)) for all c, x E R? 6x Yes, they are equali c. Is f a linear transformation? f is a linear transformation+ Note: In order to get credit for this problem all answers must be correct. You are in the Reduced Scoring Period: All additional work done counts 70% of the original

Explanation / Answer

For part B , the given information says :

f(cx)= 3cx ;

c(f(x)) = c(6x) , you entered the wrong value here , it should be (3x instead of 6x), thats why it is wrong of you to say they are equal .

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