Question

Suppose that the functions ( s ) and ( t ) are defined for all real numbers ( x ) as follows. [ egin{array}{l} s(x)=5 x \ t(x)=4 x-5 end{array} ] Write the expressions for ( (s cdot t)(x) ) and ( (s-t)(x) ) and evaluate ( (s+t)(-2) ). [ egin{array}{c} (s cdot t)(x)= \ (s-t)(x)= \ (s+t)(-2)= end{array} ]

          Suppose that the functions ( s ) and ( t ) are defined for all real numbers ( x ) as follows.
[
egin{array}{l}
s(x)=5 x \
t(x)=4 x-5
end{array}
]
Write the expressions for ( (s cdot t)(x) ) and ( (s-t)(x) ) and evaluate ( (s+t)(-2) ).
[
egin{array}{c}
(s cdot t)(x)= \
(s-t)(x)= \
(s+t)(-2)=
end{array}
]

Suppose that the functions ( s ) and ( t ) are defined for all real numbers ( x ) as follows.
[
eginarrayl
s(x)=5 x t(x)=4 x-5
endarray
]
Write the expressions for ( (s cdot t)(x) ) and ( (s-t)(x) ) and evaluate ( (s+t)(-2) ).
[
eginarrayc
(s cdot t)(x)= (s-t)(x)= (s+t)(-2)=
endarray
]

Added by Partyka F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Bradley Duda

06/12/2023

Step 1

(s⋅t)(x) means we need to multiply the functions s(x) and t(x) together. So, we have: (s⋅t)(x) = s(x) * t(x) = (5x) * (4x - 5) Now, let's find the expression for (s-t)(x), which means we need to subtract t(x) from s(x): (s-t)(x) = s(x) - t(x) = (5x) - (4x - Show more…

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