Does it expect make \$x\$ the subject?  Good question. This is a expression lutz-heilmann.infoematicians and also lutz-heilmann.info teachers use a lot, and it has actually a specific meaning that isn"t totally clear to the learner.

You are watching: What does in terms of x mean

Idiomatically speaking, to create a function “in terms of” a offered variable or variables means to write an algebraic expression making use of just that variable or variables.

So for instance, offered an equation \$x+2y-3z = 0\$, we deserve to fix for \$z\$ in terms of \$x\$ and also \$y\$ as \$z=frac13(x+2y)\$.

Literally speaking, terms are the pieces that create an expression. So in the expression \$8x^2-8x\$, \$8x^2\$ and also \$8x\$ are terms linked by the subtractivity feature. The expression is in terms of \$x\$ because each term in the expression has actually just the variable \$x\$ (and also constants) in it. When it means

expush in terms of \$x\$

It means to expush the quantity you"re finding in regards to \$x\$, the variable.

Thus,

Since:

\$\$f(x) = 2x^2 + 4x\$\$

So,

\$\$f(-2x) = 2(-2x)^2 + 4(-2x) = 8x^2 - 8x\$\$ It indicates uncover the feature \$g(x) = f(-2x)\$ in such a way that everyobody that knows lutz-heilmann.info deserve to simply plug in any value of \$x\$ to discover \$g(x)\$.

For example, if \$f(x) = sin(x)\$, then \$f(-2x) = sin(-2x)\$, or even better (constantly simplify if that is possible!) \$sin(-2x)=-sin(2x)\$ is the expression you are trying to find. To evaluate \$f(-2x)\$, you will initially compute \$x"=-2x\$, then \$2x"^2+4x"\$.

You are asked to rerelocate the intermediate substitution step and also come up through a straight expression \$g(x)=f(-2x)\$.

Obviously, \$g(x)=f(-2x)=2(-2x)^2+4(-2x)=8x^2-8x\$, which is the answer.

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